Compare 30/64 and 36/75
30/64 is smaller than 36/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 75 is 4800
Next, find the equivalent fraction of both fractional numbers with denominator 4800 - For the 1st fraction, since 64 × 75 = 4800,
30/64 = 30 × 75/64 × 75 = 2250/4800 - Likewise, for the 2nd fraction, since 75 × 64 = 4800,
36/75 = 36 × 64/75 × 64 = 2304/4800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2250/4800 < 2304/4800 or 30/64 < 36/75
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