Compare 2/25 and 9/40
2/25 is smaller than 9/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 40 is 200
Next, find the equivalent fraction of both fractional numbers with denominator 200 - For the 1st fraction, since 25 × 8 = 200,
2/25 = 2 × 8/25 × 8 = 16/200 - Likewise, for the 2nd fraction, since 40 × 5 = 200,
9/40 = 9 × 5/40 × 5 = 45/200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/200 < 45/200 or 2/25 < 9/40
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