Compare 7/15 and 40/50
7/15 is smaller than 40/50
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,
7/15 = 7 × 10/15 × 10 = 70/150 - Likewise, for the 2nd fraction, since 50 × 3 = 150,
40/50 = 40 × 3/50 × 3 = 120/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/150 < 120/150 or 7/15 < 40/50
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