Compare 2/15 and 20/75
2/15 is smaller than 20/75
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,
2/15 = 2 × 5/15 × 5 = 10/75 - Likewise, for the 2nd fraction, since 75 × 1 = 75,
20/75 = 20 × 1/75 × 1 = 20/75 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 10/75 < 20/75 or 2/15 < 20/75
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