Compare 8/25 and 27/35
8/25 is smaller than 27/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 35 is 175
Next, find the equivalent fraction of both fractional numbers with denominator 175 - For the 1st fraction, since 25 × 7 = 175,
8/25 = 8 × 7/25 × 7 = 56/175 - Likewise, for the 2nd fraction, since 35 × 5 = 175,
27/35 = 27 × 5/35 × 5 = 135/175 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/175 < 135/175 or 8/25 < 27/35
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