Compare 8/32 and 9/30
8/32 is smaller than 9/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 30 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 32 × 15 = 480,
8/32 = 8 × 15/32 × 15 = 120/480 - Likewise, for the 2nd fraction, since 30 × 16 = 480,
9/30 = 9 × 16/30 × 16 = 144/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/480 < 144/480 or 8/32 < 9/30
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