Compare 9/32 and 4/10
9/32 is smaller than 4/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 10 is 160
Next, find the equivalent fraction of both fractional numbers with denominator 160 - For the 1st fraction, since 32 × 5 = 160,
9/32 = 9 × 5/32 × 5 = 45/160 - Likewise, for the 2nd fraction, since 10 × 16 = 160,
4/10 = 4 × 16/10 × 16 = 64/160 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/160 < 64/160 or 9/32 < 4/10
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