Compare 1/2 and 49/63
1/2 is smaller than 49/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 63 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 2 × 63 = 126,
1/2 = 1 × 63/2 × 63 = 63/126 - Likewise, for the 2nd fraction, since 63 × 2 = 126,
49/63 = 49 × 2/63 × 2 = 98/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/126 < 98/126 or 1/2 < 49/63
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