Compare 8/42 and 84/63
1st number: 8/42, 2nd number: 1 21/63
8/42 is smaller than 84/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 63 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 42 × 3 = 126,
8/42 = 8 × 3/42 × 3 = 24/126 - Likewise, for the 2nd fraction, since 63 × 2 = 126,
84/63 = 84 × 2/63 × 2 = 168/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/126 < 168/126 or 8/42 < 84/63
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