Compare 4/15 and 50/75
4/15 is smaller than 50/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 75 is 75
Next, find the equivalent fraction of both fractional numbers with denominator 75 - For the 1st fraction, since 15 × 5 = 75,
4/15 = 4 × 5/15 × 5 = 20/75 - Likewise, for the 2nd fraction, since 75 × 1 = 75,
50/75 = 50 × 1/75 × 1 = 50/75 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/75 < 50/75 or 4/15 < 50/75
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