Compare 2/63 and 36/42
2/63 is smaller than 36/42
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,
2/63 = 2 × 2/63 × 2 = 4/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
36/42 = 36 × 3/42 × 3 = 108/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 4/126 < 108/126 or 2/63 < 36/42
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