Compare 7/15 and 28/48
7/15 is smaller than 28/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 48 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 15 × 16 = 240,
7/15 = 7 × 16/15 × 16 = 112/240 - Likewise, for the 2nd fraction, since 48 × 5 = 240,
28/48 = 28 × 5/48 × 5 = 140/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/240 < 140/240 or 7/15 < 28/48
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