Compare 7/30 and 27/64
7/30 is smaller than 27/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 64 is 960
Next, find the equivalent fraction of both fractional numbers with denominator 960 - For the 1st fraction, since 30 × 32 = 960,
7/30 = 7 × 32/30 × 32 = 224/960 - Likewise, for the 2nd fraction, since 64 × 15 = 960,
27/64 = 27 × 15/64 × 15 = 405/960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 224/960 < 405/960 or 7/30 < 27/64
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