Compare 21/7 and 40/8
1st number: 3 0/7, 2nd number: 5 0/8
21/7 is smaller than 40/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 8 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 7 × 8 = 56,
21/7 = 21 × 8/7 × 8 = 168/56 - Likewise, for the 2nd fraction, since 8 × 7 = 56,
40/8 = 40 × 7/8 × 7 = 280/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/56 < 280/56 or 21/7 < 40/8
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