Compare 40/75 and 10/14
40/75 is smaller than 10/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 14 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
40/75 = 40 × 14/75 × 14 = 560/1050 - Likewise, for the 2nd fraction, since 14 × 75 = 1050,
10/14 = 10 × 75/14 × 75 = 750/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 560/1050 < 750/1050 or 40/75 < 10/14
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