Compare 1/21 and 32/18
1st number: 1/21, 2nd number: 1 14/18
1/21 is smaller than 32/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 21 × 6 = 126,
1/21 = 1 × 6/21 × 6 = 6/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
32/18 = 32 × 7/18 × 7 = 224/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6/126 < 224/126 or 1/21 < 32/18
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