Compare 15/32 and 42/60
15/32 is smaller than 42/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 60 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 32 × 15 = 480,
15/32 = 15 × 15/32 × 15 = 225/480 - Likewise, for the 2nd fraction, since 60 × 8 = 480,
42/60 = 42 × 8/60 × 8 = 336/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/480 < 336/480 or 15/32 < 42/60
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