Compare 40/63 and 28/42
40/63 is smaller than 28/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 63 × 2 = 126,
40/63 = 40 × 2/63 × 2 = 80/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
28/42 = 28 × 3/42 × 3 = 84/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/126 < 84/126 or 40/63 < 28/42
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