Add 27/42 and 21/49
27/42 + 21/49 is 15/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
27/42 = 27 × 7/42 × 7 = 189/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
21/49 = 21 × 6/49 × 6 = 126/294 - Add the two like fractions:
189/294 + 126/294 = 189 + 126/294 = 315/294 - 315/294 simplified gives 15/14
- So, 27/42 + 21/49 = 15/14
In mixed form: 11/14
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