Compare 40/14 and 70/18
1st number: 2 12/14, 2nd number: 3 16/18
40/14 is smaller than 70/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 14 × 9 = 126,
40/14 = 40 × 9/14 × 9 = 360/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
70/18 = 70 × 7/18 × 7 = 490/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/126 < 490/126 or 40/14 < 70/18
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