Compare 3/25 and 1/7
3/25 is smaller than 1/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 7 is 175
Next, find the equivalent fraction of both fractional numbers with denominator 175 - For the 1st fraction, since 25 × 7 = 175,
3/25 = 3 × 7/25 × 7 = 21/175 - Likewise, for the 2nd fraction, since 7 × 25 = 175,
1/7 = 1 × 25/7 × 25 = 25/175 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/175 < 25/175 or 3/25 < 1/7
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