Compare 8/14 and 40/63
8/14 is smaller than 40/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 63 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 14 × 9 = 126,
8/14 = 8 × 9/14 × 9 = 72/126 - 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
- 72/126 < 80/126 or 8/14 < 40/63
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