Compare 15/25 and 10/12
15/25 is smaller than 10/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 12 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 25 × 12 = 300,
15/25 = 15 × 12/25 × 12 = 180/300 - 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
- 180/300 < 250/300 or 15/25 < 10/12
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