Compare 1/32 and 40/8
1st number: 1/32, 2nd number: 5 0/8
1/32 is smaller than 40/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 8 is 32
Next, find the equivalent fraction of both fractional numbers with denominator 32 - For the 1st fraction, since 32 × 1 = 32,
1/32 = 1 × 1/32 × 1 = 1/32 - Likewise, for the 2nd fraction, since 8 × 4 = 32,
40/8 = 40 × 4/8 × 4 = 160/32 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1/32 < 160/32 or 1/32 < 40/8
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