Compare 56/21 and 75/24
1st number: 2 14/21, 2nd number: 3 3/24
56/21 is smaller than 75/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 21 × 8 = 168,
56/21 = 56 × 8/21 × 8 = 448/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
75/24 = 75 × 7/24 × 7 = 525/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 448/168 < 525/168 or 56/21 < 75/24
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