Compare 15/25 and 30/35
15/25 is smaller than 30/35
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,
15/25 = 15 × 7/25 × 7 = 105/175 - Likewise, for the 2nd fraction, since 35 × 5 = 175,
30/35 = 30 × 5/35 × 5 = 150/175 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/175 < 150/175 or 15/25 < 30/35
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