Add 27/36 and 14/49
27/36 + 14/49 is 29/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 49 is 1764
Next, find the equivalent fraction of both fractional numbers with denominator 1764 - For the 1st fraction, since 36 × 49 = 1764,
27/36 = 27 × 49/36 × 49 = 1323/1764 - Likewise, for the 2nd fraction, since 49 × 36 = 1764,
14/49 = 14 × 36/49 × 36 = 504/1764 - Add the two like fractions:
1323/1764 + 504/1764 = 1323 + 504/1764 = 1827/1764 - 1827/1764 simplified gives 29/28
- So, 27/36 + 14/49 = 29/28
In mixed form: 11/28
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