Compare 9/25 and 40/7
1st number: 9/25, 2nd number: 5 5/7
9/25 is smaller than 40/7
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,
9/25 = 9 × 7/25 × 7 = 63/175 - Likewise, for the 2nd fraction, since 7 × 25 = 175,
40/7 = 40 × 25/7 × 25 = 1000/175 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/175 < 1000/175 or 9/25 < 40/7
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