Compare 9/25 and 28/42
9/25 is smaller than 28/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 25 × 42 = 1050,
9/25 = 9 × 42/25 × 42 = 378/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
28/42 = 28 × 25/42 × 25 = 700/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 378/1050 < 700/1050 or 9/25 < 28/42
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