Add 21/49 and 20/36
21/49 + 20/36 is 62/63.
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,
20/36 = 20 × 49/36 × 49 = 980/1764 - Add the two like fractions:
756/1764 + 980/1764 = 756 + 980/1764 = 1736/1764 - 1736/1764 simplified gives 62/63
- So, 21/49 + 20/36 = 62/63
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