Compare 10/15 and 35/50
10/15 is smaller than 35/50
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,
10/15 = 10 × 10/15 × 10 = 100/150 - Likewise, for the 2nd fraction, since 50 × 3 = 150,
35/50 = 35 × 3/50 × 3 = 105/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/150 < 105/150 or 10/15 < 35/50
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