Compare 12/40 and 27/25
1st number: 12/40, 2nd number: 1 2/25
12/40 is smaller than 27/25
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,
12/40 = 12 × 5/40 × 5 = 60/200 - Likewise, for the 2nd fraction, since 25 × 8 = 200,
27/25 = 27 × 8/25 × 8 = 216/200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/200 < 216/200 or 12/40 < 27/25
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