Compare 10/25 and 24/35
10/25 is smaller than 24/35
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,
10/25 = 10 × 7/25 × 7 = 70/175 - Likewise, for the 2nd fraction, since 35 × 5 = 175,
24/35 = 24 × 5/35 × 5 = 120/175 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/175 < 120/175 or 10/25 < 24/35
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