Compare 24/75 and 21/64
24/75 is smaller than 21/64
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,
24/75 = 24 × 64/75 × 64 = 1536/4800 - Likewise, for the 2nd fraction, since 64 × 75 = 4800,
21/64 = 21 × 75/64 × 75 = 1575/4800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1536/4800 < 1575/4800 or 24/75 < 21/64
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