Compare 40/75 and 10/12
40/75 is smaller than 10/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 12 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
40/75 = 40 × 4/75 × 4 = 160/300 - Likewise, for the 2nd fraction, since 12 × 25 = 300,
10/12 = 10 × 25/12 × 25 = 250/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/300 < 250/300 or 40/75 < 10/12
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