Compare 75/20 and 30/7
1st number: 3 15/20, 2nd number: 4 2/7
75/20 is smaller than 30/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 7 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 20 × 7 = 140,
75/20 = 75 × 7/20 × 7 = 525/140 - Likewise, for the 2nd fraction, since 7 × 20 = 140,
30/7 = 30 × 20/7 × 20 = 600/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/140 < 600/140 or 75/20 < 30/7
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