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Questions20
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1

Find the LCD of 4/6 and 8/12

2

Find the LCD of 9/12 and 10/24

3

Find the LCD of 8/36, 10/54 and 9/30

4

Find the LCD of 8/18 and 8/12

5

Find the LCD of 4/12 and 9/32

6

Find the LCD of 10/45 and 5/15

7

Find the LCD of 4/15 and 9/25

8

Find the LCD of 10/15 and 10/27

9

Find the LCD of 8/21 and 10/6

10

Find the LCD of 5/10, 8/15 and 6/25

11

Find the LCD of 9/12 and 5/16

12

Find the LCD of 8/15, 3/6 and 10/18

13

Find the LCD of 7/15 and 4/6

14

Find the LCD of 7/20 and 4/12

15

Find the LCD of 10/24, 10/27 and 8/9

16

Find the LCD of 7/10, 10/12 and 10/16

17

Find the LCD of 8/20, 9/15 and 5/10

18

Find the LCD of 8/24, 9/12 and 7/36

19

Find the LCD of 6/8 and 10/16

20

Find the LCD of 10/30, 8/35 and 7/10

Answers Key

1

Find the LCD of 4/6 and 8/12

LCD = 12

In equivalent fraction 4/6 =8/12 ,8/12 =8/12

In equivalent fraction 4/6 =8/12 ,8/12 =8/12

Find the factors of of denominators 6 and 12

Factors of 6 = 2 x 3

Factors of 12 = 2 x 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 = 12 LCD of46 ,812 = 12 Equivalent fractions with LCD

4/6 =8/12 8/12 =8/12

Factors of 6

2 | 6 |

3 | 3 |

1 |

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 12 = 2 x 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 = 12 LCD of46 ,812 = 12 Equivalent fractions with LCD

4/6 =8/12 8/12 =8/12

2

Find the LCD of 9/12 and 10/24

LCD = 24

In equivalent fraction 9/12 =18/24 ,10/24 =10/24

In equivalent fraction 9/12 =18/24 ,10/24 =10/24

Find the factors of of denominators 12 and 24

Factors of 12 = 2 x 2 x 3

Factors of 24 = 2 x 2 x 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 3 = 24 LCD of912 ,1024 = 24 Equivalent fractions with LCD

9/12 =18/24 10/24 =10/24

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 24

2 | 24 |

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 24 = 2 x 2 x 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 3 = 24 LCD of912 ,1024 = 24 Equivalent fractions with LCD

9/12 =18/24 10/24 =10/24

3

Find the LCD of 8/36, 10/54 and 9/30

LCD = 540

In equivalent fraction 8/36 =120/540 ,10/54 =100/540 ,9/30 =162/540

In equivalent fraction 8/36 =120/540 ,10/54 =100/540 ,9/30 =162/540

Find the factors of of denominators 36 , 54 and 30

Factors of 36 = 2 x 2 x 3 x 3

Factors of 54 = 2 x 3 x 3 x 3

Factors of 30 = 2 x 3 x 5

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 x 3 x 3 x 5 = 540 LCD of836 ,1054 ,1030 = 540 Equivalent fractions with LCD

8/36 =120/540 10/54 =100/540 9/30 =162/540

Factors of 36

2 | 36 |

2 | 18 |

3 | 9 |

3 | 3 |

1 |

Factors of 54

2 | 54 |

3 | 27 |

3 | 9 |

3 | 3 |

1 |

Factors of 30

2 | 30 |

3 | 15 |

5 | 5 |

1 |

Factors of 54 = 2 x 3 x 3 x 3

Factors of 30 = 2 x 3 x 5

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 x 3 x 3 x 5 = 540 LCD of836 ,1054 ,1030 = 540 Equivalent fractions with LCD

8/36 =120/540 10/54 =100/540 9/30 =162/540

4

Find the LCD of 8/18 and 8/12

LCD = 36

In equivalent fraction 8/18 =16/36 ,8/12 =24/36

In equivalent fraction 8/18 =16/36 ,8/12 =24/36

Find the factors of of denominators 18 and 12

Factors of 18 = 2 x 3 x 3

Factors of 12 = 2 x 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 x 3 = 36 LCD of818 ,812 = 36 Equivalent fractions with LCD

8/18 =16/36 8/12 =24/36

Factors of 18

2 | 18 |

3 | 9 |

3 | 3 |

1 |

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 12 = 2 x 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 x 3 = 36 LCD of818 ,812 = 36 Equivalent fractions with LCD

8/18 =16/36 8/12 =24/36

5

Find the LCD of 4/12 and 9/32

LCD = 96

In equivalent fraction 4/12 =32/96 ,9/32 =27/96

In equivalent fraction 4/12 =32/96 ,9/32 =27/96

Find the factors of of denominators 12 and 32

Factors of 12 = 2 x 2 x 3

Factors of 32 = 2 x 2 x 2 x 2 x 2

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 2 x 2 x 3 = 96 LCD of412 ,932 = 96 Equivalent fractions with LCD

4/12 =32/96 9/32 =27/96

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 32

2 | 32 |

2 | 16 |

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Factors of 32 = 2 x 2 x 2 x 2 x 2

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 2 x 2 x 3 = 96 LCD of412 ,932 = 96 Equivalent fractions with LCD

4/12 =32/96 9/32 =27/96

6

Find the LCD of 10/45 and 5/15

LCD = 45

In equivalent fraction 10/45 =10/45 ,5/15 =15/45

In equivalent fraction 10/45 =10/45 ,5/15 =15/45

Find the factors of of denominators 45 and 15

Factors of 45 = 3 x 3 x 5

Factors of 15 = 3 x 5

Multiply the common & uncommon factors of all denominators

3 x 3 x 5 = 45 LCD of1045 ,515 = 45 Equivalent fractions with LCD

10/45 =10/45 5/15 =15/45

Factors of 45

3 | 45 |

3 | 15 |

5 | 5 |

1 |

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 15 = 3 x 5

Multiply the common & uncommon factors of all denominators

3 x 3 x 5 = 45 LCD of1045 ,515 = 45 Equivalent fractions with LCD

10/45 =10/45 5/15 =15/45

7

Find the LCD of 4/15 and 9/25

LCD = 75

In equivalent fraction 4/15 =20/75 ,9/25 =27/75

In equivalent fraction 4/15 =20/75 ,9/25 =27/75

Find the factors of of denominators 15 and 25

Factors of 15 = 3 x 5

Factors of 25 = 5 x 5

Multiply the common & uncommon factors of all denominators

3 x 5 x 5 = 75 LCD of415 ,925 = 75 Equivalent fractions with LCD

4/15 =20/75 9/25 =27/75

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 25

5 | 25 |

5 | 5 |

1 |

Factors of 25 = 5 x 5

Multiply the common & uncommon factors of all denominators

3 x 5 x 5 = 75 LCD of415 ,925 = 75 Equivalent fractions with LCD

4/15 =20/75 9/25 =27/75

8

Find the LCD of 10/15 and 10/27

LCD = 135

In equivalent fraction 10/15 =90/135 ,10/27 =50/135

In equivalent fraction 10/15 =90/135 ,10/27 =50/135

Find the factors of of denominators 15 and 27

Factors of 15 = 3 x 5

Factors of 27 = 3 x 3 x 3

Multiply the common & uncommon factors of all denominators

3 x 3 x 3 x 5 = 135 LCD of1015 ,1027 = 135 Equivalent fractions with LCD

10/15 =90/135 10/27 =50/135

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 27

3 | 27 |

3 | 9 |

3 | 3 |

1 |

Factors of 27 = 3 x 3 x 3

Multiply the common & uncommon factors of all denominators

3 x 3 x 3 x 5 = 135 LCD of1015 ,1027 = 135 Equivalent fractions with LCD

10/15 =90/135 10/27 =50/135

9

Find the LCD of 8/21 and 10/6

LCD = 42

In equivalent fraction 8/21 =16/42 ,10/6 =70/42

In equivalent fraction 8/21 =16/42 ,10/6 =70/42

Find the factors of of denominators 21 and 6

Factors of 21 = 3 x 7

Factors of 6 = 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 3 x 7 = 42 LCD of821 ,106 = 42 Equivalent fractions with LCD

8/21 =16/42 10/6 =70/42

Factors of 21

3 | 21 |

7 | 7 |

1 |

Factors of 6

2 | 6 |

3 | 3 |

1 |

Factors of 6 = 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 3 x 7 = 42 LCD of821 ,106 = 42 Equivalent fractions with LCD

8/21 =16/42 10/6 =70/42

10

Find the LCD of 5/10, 8/15 and 6/25

LCD = 150

In equivalent fraction 5/10 =75/150 ,8/15 =80/150 ,6/25 =36/150

In equivalent fraction 5/10 =75/150 ,8/15 =80/150 ,6/25 =36/150

Find the factors of of denominators 10 , 15 and 25

Factors of 10 = 2 x 5

Factors of 15 = 3 x 5

Factors of 25 = 5 x 5

Multiply the common & uncommon factors of all denominators

2 x 3 x 5 x 5 = 150 LCD of510 ,815 ,825 = 150 Equivalent fractions with LCD

5/10 =75/150 8/15 =80/150 6/25 =36/150

Factors of 10

2 | 10 |

5 | 5 |

1 |

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 25

5 | 25 |

5 | 5 |

1 |

Factors of 15 = 3 x 5

Factors of 25 = 5 x 5

Multiply the common & uncommon factors of all denominators

2 x 3 x 5 x 5 = 150 LCD of510 ,815 ,825 = 150 Equivalent fractions with LCD

5/10 =75/150 8/15 =80/150 6/25 =36/150

11

Find the LCD of 9/12 and 5/16

LCD = 48

In equivalent fraction 9/12 =36/48 ,5/16 =15/48

In equivalent fraction 9/12 =36/48 ,5/16 =15/48

Find the factors of of denominators 12 and 16

Factors of 12 = 2 x 2 x 3

Factors of 16 = 2 x 2 x 2 x 2

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 2 x 3 = 48 LCD of912 ,516 = 48 Equivalent fractions with LCD

9/12 =36/48 5/16 =15/48

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 16

2 | 16 |

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Factors of 16 = 2 x 2 x 2 x 2

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 2 x 3 = 48 LCD of912 ,516 = 48 Equivalent fractions with LCD

9/12 =36/48 5/16 =15/48

12

Find the LCD of 8/15, 3/6 and 10/18

LCD = 90

In equivalent fraction 8/15 =48/90 ,3/6 =45/90 ,10/18 =50/90

In equivalent fraction 8/15 =48/90 ,3/6 =45/90 ,10/18 =50/90

Find the factors of of denominators 15 , 6 and 18

Factors of 15 = 3 x 5

Factors of 6 = 2 x 3

Factors of 18 = 2 x 3 x 3

Multiply the common & uncommon factors of all denominators

2 x 3 x 3 x 5 = 90 LCD of815 ,36 ,318 = 90 Equivalent fractions with LCD

8/15 =48/90 3/6 =45/90 10/18 =50/90

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 6

2 | 6 |

3 | 3 |

1 |

Factors of 18

2 | 18 |

3 | 9 |

3 | 3 |

1 |

Factors of 6 = 2 x 3

Factors of 18 = 2 x 3 x 3

Multiply the common & uncommon factors of all denominators

2 x 3 x 3 x 5 = 90 LCD of815 ,36 ,318 = 90 Equivalent fractions with LCD

8/15 =48/90 3/6 =45/90 10/18 =50/90

13

Find the LCD of 7/15 and 4/6

LCD = 30

In equivalent fraction 7/15 =14/30 ,4/6 =20/30

In equivalent fraction 7/15 =14/30 ,4/6 =20/30

Find the factors of of denominators 15 and 6

Factors of 15 = 3 x 5

Factors of 6 = 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 3 x 5 = 30 LCD of715 ,46 = 30 Equivalent fractions with LCD

7/15 =14/30 4/6 =20/30

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 6

2 | 6 |

3 | 3 |

1 |

Factors of 6 = 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 3 x 5 = 30 LCD of715 ,46 = 30 Equivalent fractions with LCD

7/15 =14/30 4/6 =20/30

14

Find the LCD of 7/20 and 4/12

LCD = 60

In equivalent fraction 7/20 =21/60 ,4/12 =20/60

In equivalent fraction 7/20 =21/60 ,4/12 =20/60

Find the factors of of denominators 20 and 12

Factors of 20 = 2 x 2 x 5

Factors of 12 = 2 x 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 x 5 = 60 LCD of720 ,412 = 60 Equivalent fractions with LCD

7/20 =21/60 4/12 =20/60

Factors of 20

2 | 20 |

2 | 10 |

5 | 5 |

1 |

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 12 = 2 x 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 x 5 = 60 LCD of720 ,412 = 60 Equivalent fractions with LCD

7/20 =21/60 4/12 =20/60

15

Find the LCD of 10/24, 10/27 and 8/9

LCD = 216

In equivalent fraction 10/24 =90/216 ,10/27 =80/216 ,8/9 =192/216

In equivalent fraction 10/24 =90/216 ,10/27 =80/216 ,8/9 =192/216

Find the factors of of denominators 24 , 27 and 9

Factors of 24 = 2 x 2 x 2 x 3

Factors of 27 = 3 x 3 x 3

Factors of 9 = 3 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 3 x 3 x 3 = 216 LCD of1024 ,1027 ,109 = 216 Equivalent fractions with LCD

10/24 =90/216 10/27 =80/216 8/9 =192/216

Factors of 24

2 | 24 |

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 27

3 | 27 |

3 | 9 |

3 | 3 |

1 |

Factors of 9

3 | 9 |

3 | 3 |

1 |

Factors of 27 = 3 x 3 x 3

Factors of 9 = 3 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 3 x 3 x 3 = 216 LCD of1024 ,1027 ,109 = 216 Equivalent fractions with LCD

10/24 =90/216 10/27 =80/216 8/9 =192/216

16

Find the LCD of 7/10, 10/12 and 10/16

LCD = 240

In equivalent fraction 7/10 =168/240 ,10/12 =200/240 ,10/16 =150/240

In equivalent fraction 7/10 =168/240 ,10/12 =200/240 ,10/16 =150/240

Find the factors of of denominators 10 , 12 and 16

Factors of 10 = 2 x 5

Factors of 12 = 2 x 2 x 3

Factors of 16 = 2 x 2 x 2 x 2

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 2 x 3 x 5 = 240 LCD of710 ,1012 ,1016 = 240 Equivalent fractions with LCD

7/10 =168/240 10/12 =200/240 10/16 =150/240

Factors of 10

2 | 10 |

5 | 5 |

1 |

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 16

2 | 16 |

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Factors of 12 = 2 x 2 x 3

Factors of 16 = 2 x 2 x 2 x 2

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 2 x 3 x 5 = 240 LCD of710 ,1012 ,1016 = 240 Equivalent fractions with LCD

7/10 =168/240 10/12 =200/240 10/16 =150/240

17

Find the LCD of 8/20, 9/15 and 5/10

LCD = 60

In equivalent fraction 8/20 =24/60 ,9/15 =36/60 ,5/10 =30/60

In equivalent fraction 8/20 =24/60 ,9/15 =36/60 ,5/10 =30/60

Find the factors of of denominators 20 , 15 and 10

Factors of 20 = 2 x 2 x 5

Factors of 15 = 3 x 5

Factors of 10 = 2 x 5

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 x 5 = 60 LCD of820 ,915 ,910 = 60 Equivalent fractions with LCD

8/20 =24/60 9/15 =36/60 5/10 =30/60

Factors of 20

2 | 20 |

2 | 10 |

5 | 5 |

1 |

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 10

2 | 10 |

5 | 5 |

1 |

Factors of 15 = 3 x 5

Factors of 10 = 2 x 5

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 x 5 = 60 LCD of820 ,915 ,910 = 60 Equivalent fractions with LCD

8/20 =24/60 9/15 =36/60 5/10 =30/60

18

Find the LCD of 8/24, 9/12 and 7/36

LCD = 72

In equivalent fraction 8/24 =24/72 ,9/12 =54/72 ,7/36 =14/72

In equivalent fraction 8/24 =24/72 ,9/12 =54/72 ,7/36 =14/72

Find the factors of of denominators 24 , 12 and 36

Factors of 24 = 2 x 2 x 2 x 3

Factors of 12 = 2 x 2 x 3

Factors of 36 = 2 x 2 x 3 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 3 x 3 = 72 LCD of824 ,912 ,936 = 72 Equivalent fractions with LCD

8/24 =24/72 9/12 =54/72 7/36 =14/72

Factors of 24

2 | 24 |

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 36

2 | 36 |

2 | 18 |

3 | 9 |

3 | 3 |

1 |

Factors of 12 = 2 x 2 x 3

Factors of 36 = 2 x 2 x 3 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 3 x 3 = 72 LCD of824 ,912 ,936 = 72 Equivalent fractions with LCD

8/24 =24/72 9/12 =54/72 7/36 =14/72

19

Find the LCD of 6/8 and 10/16

LCD = 16

In equivalent fraction 6/8 =12/16 ,10/16 =10/16

In equivalent fraction 6/8 =12/16 ,10/16 =10/16

Find the factors of of denominators 8 and 16

Factors of 8 = 2 x 2 x 2

Factors of 16 = 2 x 2 x 2 x 2

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 2 = 16 LCD of68 ,1016 = 16 Equivalent fractions with LCD

6/8 =12/16 10/16 =10/16

Factors of 8

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Factors of 16

2 | 16 |

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Factors of 16 = 2 x 2 x 2 x 2

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 2 = 16 LCD of68 ,1016 = 16 Equivalent fractions with LCD

6/8 =12/16 10/16 =10/16

20

Find the LCD of 10/30, 8/35 and 7/10

LCD = 210

In equivalent fraction 10/30 =70/210 ,8/35 =48/210 ,7/10 =147/210

In equivalent fraction 10/30 =70/210 ,8/35 =48/210 ,7/10 =147/210

Find the factors of of denominators 30 , 35 and 10

Factors of 30 = 2 x 3 x 5

Factors of 35 = 5 x 7

Factors of 10 = 2 x 5

Multiply the common & uncommon factors of all denominators

2 x 3 x 5 x 7 = 210 LCD of1030 ,835 ,810 = 210 Equivalent fractions with LCD

10/30 =70/210 8/35 =48/210 7/10 =147/210

Factors of 30

2 | 30 |

3 | 15 |

5 | 5 |

1 |

Factors of 35

5 | 35 |

7 | 7 |

1 |

Factors of 10

2 | 10 |

5 | 5 |

1 |

Factors of 35 = 5 x 7

Factors of 10 = 2 x 5

Multiply the common & uncommon factors of all denominators

2 x 3 x 5 x 7 = 210 LCD of1030 ,835 ,810 = 210 Equivalent fractions with LCD

10/30 =70/210 8/35 =48/210 7/10 =147/210

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I can answer you simple math queries!

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