Compare 9/40 and 9/32
9/40 is smaller than 9/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 32 is 160
Next, find the equivalent fraction of both fractional numbers with denominator 160 - For the 1st fraction, since 40 × 4 = 160,
9/40 = 9 × 4/40 × 4 = 36/160 - Likewise, for the 2nd fraction, since 32 × 5 = 160,
9/32 = 9 × 5/32 × 5 = 45/160 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/160 < 45/160 or 9/40 < 9/32
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