Compare 7/32 and 24/30
7/32 is smaller than 24/30
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,
7/32 = 7 × 15/32 × 15 = 105/480 - Likewise, for the 2nd fraction, since 30 × 16 = 480,
24/30 = 24 × 16/30 × 16 = 384/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/480 < 384/480 or 7/32 < 24/30
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