Compare 1/32 and 40/7
1st number: 1/32, 2nd number: 5 5/7
1/32 is smaller than 40/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 7 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 32 × 7 = 224,
1/32 = 1 × 7/32 × 7 = 7/224 - Likewise, for the 2nd fraction, since 7 × 32 = 224,
40/7 = 40 × 32/7 × 32 = 1280/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/224 < 1280/224 or 1/32 < 40/7
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