Compare 9/30 and 20/32
9/30 is smaller than 20/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 32 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 30 × 16 = 480,
9/30 = 9 × 16/30 × 16 = 144/480 - Likewise, for the 2nd fraction, since 32 × 15 = 480,
20/32 = 20 × 15/32 × 15 = 300/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/480 < 300/480 or 9/30 < 20/32
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