Add 21/49 and 9/36
21/49 + 9/36 is 19/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 36 is 1764
Next, find the equivalent fraction of both fractional numbers with denominator 1764 - For the 1st fraction, since 49 × 36 = 1764,
21/49 = 21 × 36/49 × 36 = 756/1764 - Likewise, for the 2nd fraction, since 36 × 49 = 1764,
9/36 = 9 × 49/36 × 49 = 441/1764 - Add the two like fractions:
756/1764 + 441/1764 = 756 + 441/1764 = 1197/1764 - 1197/1764 simplified gives 19/28
- So, 21/49 + 9/36 = 19/28
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