Compare 9/28 and 42/48
9/28 is smaller than 42/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 48 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 28 × 12 = 336,
9/28 = 9 × 12/28 × 12 = 108/336 - Likewise, for the 2nd fraction, since 48 × 7 = 336,
42/48 = 42 × 7/48 × 7 = 294/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/336 < 294/336 or 9/28 < 42/48
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