Compare 6/25 and 4/7
6/25 is smaller than 4/7
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,
6/25 = 6 × 7/25 × 7 = 42/175 - Likewise, for the 2nd fraction, since 7 × 25 = 175,
4/7 = 4 × 25/7 × 25 = 100/175 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/175 < 100/175 or 6/25 < 4/7
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