Compare 75/14 and 40/6
1st number: 5 5/14, 2nd number: 6 4/6
75/14 is smaller than 40/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 6 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
75/14 = 75 × 3/14 × 3 = 225/42 - Likewise, for the 2nd fraction, since 6 × 7 = 42,
40/6 = 40 × 7/6 × 7 = 280/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/42 < 280/42 or 75/14 < 40/6
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