Compare 24/45 and 35/64
24/45 is smaller than 35/64
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,
24/45 = 24 × 64/45 × 64 = 1536/2880 - Likewise, for the 2nd fraction, since 64 × 45 = 2880,
35/64 = 35 × 45/64 × 45 = 1575/2880 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1536/2880 < 1575/2880 or 24/45 < 35/64
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