Compare 70/75 and 81/64
1st number: 70/75, 2nd number: 1 17/64
70/75 is smaller than 81/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 64 is 4800
Next, find the equivalent fraction of both fractional numbers with denominator 4800 - For the 1st fraction, since 75 × 64 = 4800,
70/75 = 70 × 64/75 × 64 = 4480/4800 - Likewise, for the 2nd fraction, since 64 × 75 = 4800,
81/64 = 81 × 75/64 × 75 = 6075/4800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 4480/4800 < 6075/4800 or 70/75 < 81/64
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