Compare 10/25 and 9/14
10/25 is smaller than 9/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 14 is 350
Next, find the equivalent fraction of both fractional numbers with denominator 350 - For the 1st fraction, since 25 × 14 = 350,
10/25 = 10 × 14/25 × 14 = 140/350 - Likewise, for the 2nd fraction, since 14 × 25 = 350,
9/14 = 9 × 25/14 × 25 = 225/350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/350 < 225/350 or 10/25 < 9/14
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