Compare 40/14 and 42/3
1st number: 2 12/14, 2nd number: 14 0/3
40/14 is smaller than 42/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 3 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
40/14 = 40 × 3/14 × 3 = 120/42 - Likewise, for the 2nd fraction, since 3 × 14 = 42,
42/3 = 42 × 14/3 × 14 = 588/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/42 < 588/42 or 40/14 < 42/3
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