Compare 1/49 and 84/63
1st number: 1/49, 2nd number: 1 21/63
1/49 is smaller than 84/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 63 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 49 × 9 = 441,
1/49 = 1 × 9/49 × 9 = 9/441 - Likewise, for the 2nd fraction, since 63 × 7 = 441,
84/63 = 84 × 7/63 × 7 = 588/441 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/441 < 588/441 or 1/49 < 84/63
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