Compare 75/14 and 40/10
1st number: 5 5/14, 2nd number: 4 0/10
75/14 is greater than 40/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 10 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 14 × 5 = 70,
75/14 = 75 × 5/14 × 5 = 375/70 - Likewise, for the 2nd fraction, since 10 × 7 = 70,
40/10 = 40 × 7/10 × 7 = 280/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 375/70 > 280/70 or 75/14 > 40/10
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