Compare 27/64 and 49/40
1st number: 27/64, 2nd number: 1 9/40
27/64 is smaller than 49/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 40 is 320
Next, find the equivalent fraction of both fractional numbers with denominator 320 - For the 1st fraction, since 64 × 5 = 320,
27/64 = 27 × 5/64 × 5 = 135/320 - Likewise, for the 2nd fraction, since 40 × 8 = 320,
49/40 = 49 × 8/40 × 8 = 392/320 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/320 < 392/320 or 27/64 < 49/40
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