Compare 21/18 and 84/7
1st number: 1 3/18, 2nd number: 12 0/7
21/18 is smaller than 84/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 7 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
21/18 = 21 × 7/18 × 7 = 147/126 - Likewise, for the 2nd fraction, since 7 × 18 = 126,
84/7 = 84 × 18/7 × 18 = 1512/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/126 < 1512/126 or 21/18 < 84/7
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