Compare 21/24 and 35/36
21/24 is smaller than 35/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 36 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 24 × 3 = 72,
21/24 = 21 × 3/24 × 3 = 63/72 - Likewise, for the 2nd fraction, since 36 × 2 = 72,
35/36 = 35 × 2/36 × 2 = 70/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/72 < 70/72 or 21/24 < 35/36
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