Compare 2/12 and 40/63
2/12 is smaller than 40/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 63 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 12 × 21 = 252,
2/12 = 2 × 21/12 × 21 = 42/252 - Likewise, for the 2nd fraction, since 63 × 4 = 252,
40/63 = 40 × 4/63 × 4 = 160/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/252 < 160/252 or 2/12 < 40/63
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