Compare 40/14 and 75/40
1st number: 2 12/14, 2nd number: 1 35/40
40/14 is greater than 75/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
40/14 = 40 × 20/14 × 20 = 800/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
75/40 = 75 × 7/40 × 7 = 525/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 800/280 > 525/280 or 40/14 > 75/40
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