Compare 10/80 and 7/25
10/80 is smaller than 7/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 25 is 400
Next, find the equivalent fraction of both fractional numbers with denominator 400 - For the 1st fraction, since 80 × 5 = 400,
10/80 = 10 × 5/80 × 5 = 50/400 - Likewise, for the 2nd fraction, since 25 × 16 = 400,
7/25 = 7 × 16/25 × 16 = 112/400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/400 < 112/400 or 10/80 < 7/25
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