Compare 4/15 and 12/25
4/15 is smaller than 12/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 25 is 75
Next, find the equivalent fraction of both fractional numbers with denominator 75 - For the 1st fraction, since 15 × 5 = 75,
4/15 = 4 × 5/15 × 5 = 20/75 - Likewise, for the 2nd fraction, since 25 × 3 = 75,
12/25 = 12 × 3/25 × 3 = 36/75 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/75 < 36/75 or 4/15 < 12/25
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