Compare 10/25 and 12/16
10/25 is smaller than 12/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 16 is 400
Next, find the equivalent fraction of both fractional numbers with denominator 400 - For the 1st fraction, since 25 × 16 = 400,
10/25 = 10 × 16/25 × 16 = 160/400 - Likewise, for the 2nd fraction, since 16 × 25 = 400,
12/16 = 12 × 25/16 × 25 = 300/400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/400 < 300/400 or 10/25 < 12/16
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