Compare 7/40 and 32/25
1st number: 7/40, 2nd number: 1 7/25
7/40 is smaller than 32/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 25 is 200
Next, find the equivalent fraction of both fractional numbers with denominator 200 - For the 1st fraction, since 40 × 5 = 200,
7/40 = 7 × 5/40 × 5 = 35/200 - Likewise, for the 2nd fraction, since 25 × 8 = 200,
32/25 = 32 × 8/25 × 8 = 256/200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 35/200 < 256/200 or 7/40 < 32/25
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