Compare 4/15 and 27/50
4/15 is smaller than 27/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 50 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 15 × 10 = 150,
4/15 = 4 × 10/15 × 10 = 40/150 - Likewise, for the 2nd fraction, since 50 × 3 = 150,
27/50 = 27 × 3/50 × 3 = 81/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/150 < 81/150 or 4/15 < 27/50
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