Compare 9/48 and 15/42
9/48 is smaller than 15/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 42 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 48 × 7 = 336,
9/48 = 9 × 7/48 × 7 = 63/336 - Likewise, for the 2nd fraction, since 42 × 8 = 336,
15/42 = 15 × 8/42 × 8 = 120/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/336 < 120/336 or 9/48 < 15/42
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