Add 27/18 and 35/21
1st number: 1 9/18, 2nd number: 1 14/21
27/18 + 35/21 is 19/6.
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,
35/21 = 35 × 6/21 × 6 = 210/126 - Add the two like fractions:
189/126 + 210/126 = 189 + 210/126 = 399/126 - 399/126 simplified gives 19/6
- So, 27/18 + 35/21 = 19/6
In mixed form: 31/6
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