Comparison & Write Which Ratio is Bigger or Smaller

Name Grade School
Date Questions20 Score

1
Compare 44:57 and 17:77
2
Compare 34:63 and 15:17
3
Compare 25:91 and 49:62
4
Compare 23:30 and 41:59
5
Compare 36:73 and 45:58
6
Compare 19:29 and 43:99
7
Compare 18:91 and 21:73
8
Compare 23:79 and 1:4
9
Compare 26:41 and 13:83
10
Compare 29:54 and 31:48
11
Compare 1:2 and 17:42
12
Compare 25:33 and 7:11
13
Compare 30:97 and 21:43
14
Compare 39:71 and 7:74
15
Compare 22:25 and 55:84
16
Compare 5:6 and 5:9
17
Compare 10:49 and 3:76
18
Compare 11:15 and 7:38
19
Compare 9:22 and 11:53
20
Compare 1:25 and 19:67

Answers Key
Show All Workout
1
Compare 44:57 and 17:77
44 : 57 is greater than 17 : 77
step 1
Write the ratio in fraction format
44:57 =
4457
17:77 =
1777
step 2
Being unlike denominators, find the LCM for the denominators 57 & 77
LCM(57, 77) = 4389
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
4457
=
4457
x
43894389
=
33884389
1777
=
1777
x
43894389
=
9694389
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
33884389
is greater than
9694389
4457
is greater than
1777
step 5
Write the statement
4457
is greater than
1777
Hence 44 : 57 is greater than 17 : 77
2
Compare 34:63 and 15:17
34 : 63 is smaller than 15 : 17
step 1
Write the ratio in fraction format
34:63 =
3463
15:17 =
1517
step 2
Being unlike denominators, find the LCM for the denominators 63 & 17
LCM(63, 17) = 1071
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
3463
=
3463
x
10711071
=
5781071
1517
=
1517
x
10711071
=
9451071
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
5781071
is smaller than
9451071
3463
is smaller than
1517
step 5
Write the statement
3463
is smaller than
1517
Hence 34 : 63 is smaller than 15 : 17
3
Compare 25:91 and 49:62
25 : 91 is smaller than 49 : 62
step 1
Write the ratio in fraction format
25:91 =
2591
49:62 =
4962
step 2
Being unlike denominators, find the LCM for the denominators 91 & 62
LCM(91, 62) = 5642
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
2591
=
2591
x
56425642
=
15505642
4962
=
4962
x
56425642
=
44595642
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
15505642
is smaller than
44595642
2591
is smaller than
4962
step 5
Write the statement
2591
is smaller than
4962
Hence 25 : 91 is smaller than 49 : 62
4
Compare 23:30 and 41:59
23 : 30 is greater than 41 : 59
step 1
Write the ratio in fraction format
23:30 =
2330
41:59 =
4159
step 2
Being unlike denominators, find the LCM for the denominators 30 & 59
LCM(30, 59) = 1770
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
2330
=
2330
x
17701770
=
13571770
4159
=
4159
x
17701770
=
12301770
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
13571770
is greater than
12301770
2330
is greater than
4159
step 5
Write the statement
2330
is greater than
4159
Hence 23 : 30 is greater than 41 : 59
5
Compare 36:73 and 45:58
36 : 73 is smaller than 45 : 58
step 1
Write the ratio in fraction format
36:73 =
3673
45:58 =
4558
step 2
Being unlike denominators, find the LCM for the denominators 73 & 58
LCM(73, 58) = 4234
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
3673
=
3673
x
42344234
=
20884234
4558
=
4558
x
42344234
=
32854234
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
20884234
is smaller than
32854234
3673
is smaller than
4558
step 5
Write the statement
3673
is smaller than
4558
Hence 36 : 73 is smaller than 45 : 58
6
Compare 19:29 and 43:99
19 : 29 is greater than 43 : 99
step 1
Write the ratio in fraction format
19:29 =
1929
43:99 =
4399
step 2
Being unlike denominators, find the LCM for the denominators 29 & 99
LCM(29, 99) = 2871
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
1929
=
1929
x
28712871
=
18812871
4399
=
4399
x
28712871
=
12472871
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
18812871
is greater than
12472871
1929
is greater than
4399
step 5
Write the statement
1929
is greater than
4399
Hence 19 : 29 is greater than 43 : 99
7
Compare 18:91 and 21:73
18 : 91 is smaller than 21 : 73
step 1
Write the ratio in fraction format
18:91 =
1891
21:73 =
2173
step 2
Being unlike denominators, find the LCM for the denominators 91 & 73
LCM(91, 73) = 6643
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
1891
=
1891
x
66436643
=
13146643
2173
=
2173
x
66436643
=
19116643
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
13146643
is smaller than
19116643
1891
is smaller than
2173
step 5
Write the statement
1891
is smaller than
2173
Hence 18 : 91 is smaller than 21 : 73
8
Compare 23:79 and 1:4
23 : 79 is greater than 1 : 4
step 1
Write the ratio in fraction format
23:79 =
2379
1:4 =
14
step 2
Being unlike denominators, find the LCM for the denominators 79 & 4
LCM(79, 4) = 316
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
2379
=
2379
x
316316
=
92316
14
=
14
x
316316
=
79316
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
92316
is greater than
79316
2379
is greater than
14
step 5
Write the statement
2379
is greater than
14
Hence 23 : 79 is greater than 1 : 4
9
Compare 26:41 and 13:83
26 : 41 is greater than 13 : 83
step 1
Write the ratio in fraction format
26:41 =
2641
13:83 =
1383
step 2
Being unlike denominators, find the LCM for the denominators 41 & 83
LCM(41, 83) = 3403
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
2641
=
2641
x
34033403
=
21583403
1383
=
1383
x
34033403
=
5333403
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
21583403
is greater than
5333403
2641
is greater than
1383
step 5
Write the statement
2641
is greater than
1383
Hence 26 : 41 is greater than 13 : 83
10
Compare 29:54 and 31:48
29 : 54 is smaller than 31 : 48
step 1
Write the ratio in fraction format
29:54 =
2954
31:48 =
3148
step 2
Being unlike denominators, find the LCM for the denominators 54 & 48
LCM(54, 48) = 432
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
2954
=
2954
x
432432
=
232432
3148
=
3148
x
432432
=
279432
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
232432
is smaller than
279432
2954
is smaller than
3148
step 5
Write the statement
2954
is smaller than
3148
Hence 29 : 54 is smaller than 31 : 48
11
Compare 1:2 and 17:42
1 : 2 is greater than 17 : 42
step 1
Write the ratio in fraction format
1:2 =
12
17:42 =
1742
step 2
Being unlike denominators, find the LCM for the denominators 2 & 42
LCM(2, 42) = 42
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
12
=
12
x
4242
=
2142
1742
=
1742
x
4242
=
1742
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
2142
is greater than
1742
12
is greater than
1742
step 5
Write the statement
12
is greater than
1742
Hence 1 : 2 is greater than 17 : 42
12
Compare 25:33 and 7:11
25 : 33 is greater than 7 : 11
step 1
Write the ratio in fraction format
25:33 =
2533
7:11 =
711
step 2
Being unlike denominators, find the LCM for the denominators 33 & 11
LCM(33, 11) = 33
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
2533
=
2533
x
3333
=
2533
711
=
711
x
3333
=
2133
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
2533
is greater than
2133
2533
is greater than
711
step 5
Write the statement
2533
is greater than
711
Hence 25 : 33 is greater than 7 : 11
13
Compare 30:97 and 21:43
30 : 97 is smaller than 21 : 43
step 1
Write the ratio in fraction format
30:97 =
3097
21:43 =
2143
step 2
Being unlike denominators, find the LCM for the denominators 97 & 43
LCM(97, 43) = 4171
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
3097
=
3097
x
41714171
=
12904171
2143
=
2143
x
41714171
=
20374171
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
12904171
is smaller than
20374171
3097
is smaller than
2143
step 5
Write the statement
3097
is smaller than
2143
Hence 30 : 97 is smaller than 21 : 43
14
Compare 39:71 and 7:74
39 : 71 is greater than 7 : 74
step 1
Write the ratio in fraction format
39:71 =
3971
7:74 =
774
step 2
Being unlike denominators, find the LCM for the denominators 71 & 74
LCM(71, 74) = 5254
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
3971
=
3971
x
52545254
=
28865254
774
=
774
x
52545254
=
4975254
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
28865254
is greater than
4975254
3971
is greater than
774
step 5
Write the statement
3971
is greater than
774
Hence 39 : 71 is greater than 7 : 74
15
Compare 22:25 and 55:84
22 : 25 is greater than 55 : 84
step 1
Write the ratio in fraction format
22:25 =
2225
55:84 =
5584
step 2
Being unlike denominators, find the LCM for the denominators 25 & 84
LCM(25, 84) = 2100
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
2225
=
2225
x
21002100
=
18482100
5584
=
5584
x
21002100
=
13752100
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
18482100
is greater than
13752100
2225
is greater than
5584
step 5
Write the statement
2225
is greater than
5584
Hence 22 : 25 is greater than 55 : 84
16
Compare 5:6 and 5:9
5 : 6 is greater than 5 : 9
step 1
Write the ratio in fraction format
5:6 =
56
5:9 =
59
step 2
Being unlike denominators, find the LCM for the denominators 6 & 9
LCM(6, 9) = 18
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
56
=
56
x
1818
=
1518
59
=
59
x
1818
=
1018
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
1518
is greater than
1018
56
is greater than
59
step 5
Write the statement
56
is greater than
59
Hence 5 : 6 is greater than 5 : 9
17
Compare 10:49 and 3:76
10 : 49 is greater than 3 : 76
step 1
Write the ratio in fraction format
10:49 =
1049
3:76 =
376
step 2
Being unlike denominators, find the LCM for the denominators 49 & 76
LCM(49, 76) = 3724
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
1049
=
1049
x
37243724
=
7603724
376
=
376
x
37243724
=
1473724
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
7603724
is greater than
1473724
1049
is greater than
376
step 5
Write the statement
1049
is greater than
376
Hence 10 : 49 is greater than 3 : 76
18
Compare 11:15 and 7:38
11 : 15 is greater than 7 : 38
step 1
Write the ratio in fraction format
11:15 =
1115
7:38 =
738
step 2
Being unlike denominators, find the LCM for the denominators 15 & 38
LCM(15, 38) = 570
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
1115
=
1115
x
570570
=
418570
738
=
738
x
570570
=
105570
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
418570
is greater than
105570
1115
is greater than
738
step 5
Write the statement
1115
is greater than
738
Hence 11 : 15 is greater than 7 : 38
19
Compare 9:22 and 11:53
9 : 22 is greater than 11 : 53
step 1
Write the ratio in fraction format
9:22 =
922
11:53 =
1153
step 2
Being unlike denominators, find the LCM for the denominators 22 & 53
LCM(22, 53) = 1166
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
922
=
922
x
11661166
=
4771166
1153
=
1153
x
11661166
=
2421166
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
4771166
is greater than
2421166
922
is greater than
1153
step 5
Write the statement
922
is greater than
1153
Hence 9 : 22 is greater than 11 : 53
20
Compare 1:25 and 19:67
1 : 25 is smaller than 19 : 67
step 1
Write the ratio in fraction format
1:25 =
125
19:67 =
1967
step 2
Being unlike denominators, find the LCM for the denominators 25 & 67
LCM(25, 67) = 1675
step 3
Multiply LCM with both numerator & denominator of each fraction to make each denominator equal to each other
125
=
125
x
16751675
=
671675
1967
=
1967
x
16751675
=
4751675
step 4
Compare the numerators of both fraction, a fraction with bigger numerator is the greater fraction
671675
is smaller than
4751675
125
is smaller than
1967
step 5
Write the statement
125
is smaller than
1967
Hence 1 : 25 is smaller than 19 : 67

Compare (Greater or Smaller) Two Ratios Worksheet

Comparing (greater or smaller) two ratios worksheets with answers for 6th grade math curriculum is available online for free in printable and downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 ratio & proportion worksheet to practice how to reduce the ratios to its lowest form.

How to Use this Worksheet

In this sixth grade ratio & proportion worksheet, students are required to compare the two given ratios to write which is bigger or smaller. Being multiple ratios, write the two ratios in fraction form, find LCM to make all the denominators are equal to each other, rewrite the fractions in corresponding ratios and compare the ANTECEDENTS of two ratios. The ratio having highest antecedent is the biggest ratio. Similarly, the ratio with smallest antecedent is the smallest ratio.

Answers Key

Teachers, tutors, parents or students can check or validate the solved questions of comparing two ratios by using the corresponding answers key which comprises the step by step work on how to find biggest or smallest ratio, for each problem of this worksheet.

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