Compare 9/28 and 35/42
9/28 is smaller than 35/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 28 × 3 = 84,
9/28 = 9 × 3/28 × 3 = 27/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
35/42 = 35 × 2/42 × 2 = 70/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/84 < 70/84 or 9/28 < 35/42
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