Compare 7/42 and 10/25
7/42 is smaller than 10/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 25 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 42 × 25 = 1050,
7/42 = 7 × 25/42 × 25 = 175/1050 - Likewise, for the 2nd fraction, since 25 × 42 = 1050,
10/25 = 10 × 42/25 × 42 = 420/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 175/1050 < 420/1050 or 7/42 < 10/25
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