Compare 12/15 and 30/48
12/15 is greater than 30/48
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,
12/15 = 12 × 16/15 × 16 = 192/240 - Likewise, for the 2nd fraction, since 48 × 5 = 240,
30/48 = 30 × 5/48 × 5 = 150/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 192/240 > 150/240 or 12/15 > 30/48
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