Compare 75/21 and 21/24
1st number: 3 12/21, 2nd number: 21/24
75/21 is greater than 21/24
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,
75/21 = 75 × 8/21 × 8 = 600/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
21/24 = 21 × 7/24 × 7 = 147/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 600/168 > 147/168 or 75/21 > 21/24
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