Compare 8/28 and 45/32
1st number: 8/28, 2nd number: 1 13/32
8/28 is smaller than 45/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 32 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 28 × 8 = 224,
8/28 = 8 × 8/28 × 8 = 64/224 - Likewise, for the 2nd fraction, since 32 × 7 = 224,
45/32 = 45 × 7/32 × 7 = 315/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/224 < 315/224 or 8/28 < 45/32
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