Compare 7/64 and 8/45
7/64 is smaller than 8/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 45 is 2880
Next, find the equivalent fraction of both fractional numbers with denominator 2880 - For the 1st fraction, since 64 × 45 = 2880,
7/64 = 7 × 45/64 × 45 = 315/2880 - Likewise, for the 2nd fraction, since 45 × 64 = 2880,
8/45 = 8 × 64/45 × 64 = 512/2880 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/2880 < 512/2880 or 7/64 < 8/45
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