Compare 8/25 and 30/40
8/25 is smaller than 30/40
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,
8/25 = 8 × 8/25 × 8 = 64/200 - Likewise, for the 2nd fraction, since 40 × 5 = 200,
30/40 = 30 × 5/40 × 5 = 150/200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/200 < 150/200 or 8/25 < 30/40
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