Compare 10/75 and 30/64
10/75 is smaller than 30/64
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,
10/75 = 10 × 64/75 × 64 = 640/4800 - Likewise, for the 2nd fraction, since 64 × 75 = 4800,
30/64 = 30 × 75/64 × 75 = 2250/4800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/4800 < 2250/4800 or 10/75 < 30/64
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