Compare 9/14 and 28/64
9/14 is greater than 28/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 64 is 448
Next, find the equivalent fraction of both fractional numbers with denominator 448 - For the 1st fraction, since 14 × 32 = 448,
9/14 = 9 × 32/14 × 32 = 288/448 - Likewise, for the 2nd fraction, since 64 × 7 = 448,
28/64 = 28 × 7/64 × 7 = 196/448 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/448 > 196/448 or 9/14 > 28/64
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