Compare 40/54 and 42/64
40/54 is greater than 42/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 64 is 1728
Next, find the equivalent fraction of both fractional numbers with denominator 1728 - For the 1st fraction, since 54 × 32 = 1728,
40/54 = 40 × 32/54 × 32 = 1280/1728 - Likewise, for the 2nd fraction, since 64 × 27 = 1728,
42/64 = 42 × 27/64 × 27 = 1134/1728 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1280/1728 > 1134/1728 or 40/54 > 42/64
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