Compare 32/28 and 75/20
1st number: 1 4/28, 2nd number: 3 15/20
32/28 is smaller than 75/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 20 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 28 × 5 = 140,
32/28 = 32 × 5/28 × 5 = 160/140 - Likewise, for the 2nd fraction, since 20 × 7 = 140,
75/20 = 75 × 7/20 × 7 = 525/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/140 < 525/140 or 32/28 < 75/20
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