Compare 3/32 and 8/15
3/32 is smaller than 8/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 15 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 32 × 15 = 480,
3/32 = 3 × 15/32 × 15 = 45/480 - Likewise, for the 2nd fraction, since 15 × 32 = 480,
8/15 = 8 × 32/15 × 32 = 256/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/480 < 256/480 or 3/32 < 8/15
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