Compare 9/2 and 40/63
1st number: 4 1/2, 2nd number: 40/63
9/2 is greater than 40/63
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,
9/2 = 9 × 63/2 × 63 = 567/126 - Likewise, for the 2nd fraction, since 63 × 2 = 126,
40/63 = 40 × 2/63 × 2 = 80/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 567/126 > 80/126 or 9/2 > 40/63
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