Compare 9/25 and 7/12
9/25 is smaller than 7/12
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,
9/25 = 9 × 12/25 × 12 = 108/300 - Likewise, for the 2nd fraction, since 12 × 25 = 300,
7/12 = 7 × 25/12 × 25 = 175/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/300 < 175/300 or 9/25 < 7/12
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