Compare 9/15 and 30/32
9/15 is smaller than 30/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 32 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 15 × 32 = 480,
9/15 = 9 × 32/15 × 32 = 288/480 - Likewise, for the 2nd fraction, since 32 × 15 = 480,
30/32 = 30 × 15/32 × 15 = 450/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/480 < 450/480 or 9/15 < 30/32
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