Compare 6/8 and 49/64
6/8 is smaller than 49/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 64 is 64
Next, find the equivalent fraction of both fractional numbers with denominator 64 - For the 1st fraction, since 8 × 8 = 64,
6/8 = 6 × 8/8 × 8 = 48/64 - Likewise, for the 2nd fraction, since 64 × 1 = 64,
49/64 = 49 × 1/64 × 1 = 49/64 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/64 < 49/64 or 6/8 < 49/64
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