Compare 14/30 and 9/64
14/30 is greater than 9/64
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,
14/30 = 14 × 32/30 × 32 = 448/960 - Likewise, for the 2nd fraction, since 64 × 15 = 960,
9/64 = 9 × 15/64 × 15 = 135/960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 448/960 > 135/960 or 14/30 > 9/64
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