Add 27/18 and 15/21
1st number: 1 9/18, 2nd number: 15/21
27/18 + 15/21 is 31/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
27/18 = 27 × 7/18 × 7 = 189/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
15/21 = 15 × 6/21 × 6 = 90/126 - Add the two like fractions:
189/126 + 90/126 = 189 + 90/126 = 279/126 - 279/126 simplified gives 31/14
- So, 27/18 + 15/21 = 31/14
In mixed form: 23/14
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