Compare 49/64 and 20/24
49/64 is smaller than 20/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 24 is 192
Next, find the equivalent fraction of both fractional numbers with denominator 192 - For the 1st fraction, since 64 × 3 = 192,
49/64 = 49 × 3/64 × 3 = 147/192 - Likewise, for the 2nd fraction, since 24 × 8 = 192,
20/24 = 20 × 8/24 × 8 = 160/192 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/192 < 160/192 or 49/64 < 20/24
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