Compare 4/45 and 7/64
4/45 is smaller than 7/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 64 is 2880
Next, find the equivalent fraction of both fractional numbers with denominator 2880 - For the 1st fraction, since 45 × 64 = 2880,
4/45 = 4 × 64/45 × 64 = 256/2880 - Likewise, for the 2nd fraction, since 64 × 45 = 2880,
7/64 = 7 × 45/64 × 45 = 315/2880 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 256/2880 < 315/2880 or 4/45 < 7/64
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