Compare 1/28 and 20/32
1/28 is smaller than 20/32
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,
1/28 = 1 × 8/28 × 8 = 8/224 - Likewise, for the 2nd fraction, since 32 × 7 = 224,
20/32 = 20 × 7/32 × 7 = 140/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 8/224 < 140/224 or 1/28 < 20/32
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