Compare 27/64 and 63/70
27/64 is smaller than 63/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 70 is 2240
Next, find the equivalent fraction of both fractional numbers with denominator 2240 - For the 1st fraction, since 64 × 35 = 2240,
27/64 = 27 × 35/64 × 35 = 945/2240 - Likewise, for the 2nd fraction, since 70 × 32 = 2240,
63/70 = 63 × 32/70 × 32 = 2016/2240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 945/2240 < 2016/2240 or 27/64 < 63/70
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