Compare 8/25 and 40/49
8/25 is smaller than 40/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 49 is 1225
Next, find the equivalent fraction of both fractional numbers with denominator 1225 - For the 1st fraction, since 25 × 49 = 1225,
8/25 = 8 × 49/25 × 49 = 392/1225 - Likewise, for the 2nd fraction, since 49 × 25 = 1225,
40/49 = 40 × 25/49 × 25 = 1000/1225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 392/1225 < 1000/1225 or 8/25 < 40/49
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