Compare 1/18 and 32/21
1st number: 1/18, 2nd number: 1 11/21
1/18 is smaller than 32/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
1/18 = 1 × 7/18 × 7 = 7/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
32/21 = 32 × 6/21 × 6 = 192/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/126 < 192/126 or 1/18 < 32/21
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