Compare 18/15 and 27/21
1st number: 1 3/15, 2nd number: 1 6/21
18/15 is smaller than 27/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 15 × 7 = 105,
18/15 = 18 × 7/15 × 7 = 126/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
27/21 = 27 × 5/21 × 5 = 135/105 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/105 < 135/105 or 18/15 < 27/21
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