Compare 32/5 and 56/7
1st number: 6 2/5, 2nd number: 8 0/7
32/5 is smaller than 56/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 7 is 35
Next, find the equivalent fraction of both fractional numbers with denominator 35 - For the 1st fraction, since 5 × 7 = 35,
32/5 = 32 × 7/5 × 7 = 224/35 - Likewise, for the 2nd fraction, since 7 × 5 = 35,
56/7 = 56 × 5/7 × 5 = 280/35 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 224/35 < 280/35 or 32/5 < 56/7
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