Compare 6/21 and 20/15
1st number: 6/21, 2nd number: 1 5/15
6/21 is smaller than 20/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 15 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 21 × 5 = 105,
6/21 = 6 × 5/21 × 5 = 30/105 - Likewise, for the 2nd fraction, since 15 × 7 = 105,
20/15 = 20 × 7/15 × 7 = 140/105 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/105 < 140/105 or 6/21 < 20/15
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