Compare 4/7 and 42/64
4/7 is smaller than 42/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 64 is 448
Next, find the equivalent fraction of both fractional numbers with denominator 448 - For the 1st fraction, since 7 × 64 = 448,
4/7 = 4 × 64/7 × 64 = 256/448 - Likewise, for the 2nd fraction, since 64 × 7 = 448,
42/64 = 42 × 7/64 × 7 = 294/448 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 256/448 < 294/448 or 4/7 < 42/64
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