Compare 40/32 and 21/8
1st number: 1 8/32, 2nd number: 2 5/8
40/32 is smaller than 21/8
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,
40/32 = 40 × 1/32 × 1 = 40/32 - Likewise, for the 2nd fraction, since 8 × 4 = 32,
21/8 = 21 × 4/8 × 4 = 84/32 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/32 < 84/32 or 40/32 < 21/8
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