Compare 10/25 and 35/40
10/25 is smaller than 35/40
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,
10/25 = 10 × 8/25 × 8 = 80/200 - Likewise, for the 2nd fraction, since 40 × 5 = 200,
35/40 = 35 × 5/40 × 5 = 175/200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/200 < 175/200 or 10/25 < 35/40
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