Compare 9/28 and 42/75
9/28 is smaller than 42/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 28 × 75 = 2100,
9/28 = 9 × 75/28 × 75 = 675/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
42/75 = 42 × 28/75 × 28 = 1176/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/2100 < 1176/2100 or 9/28 < 42/75
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