Compare 30/50 and 12/15
30/50 is smaller than 12/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 15 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 50 × 3 = 150,
30/50 = 30 × 3/50 × 3 = 90/150 - Likewise, for the 2nd fraction, since 15 × 10 = 150,
12/15 = 12 × 10/15 × 10 = 120/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/150 < 120/150 or 30/50 < 12/15
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