Add 8/36 and 21/49
8/36 + 21/49 is 41/63.
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,
8/36 = 8 × 49/36 × 49 = 392/1764 - Likewise, for the 2nd fraction, since 49 × 36 = 1764,
21/49 = 21 × 36/49 × 36 = 756/1764 - Add the two like fractions:
392/1764 + 756/1764 = 392 + 756/1764 = 1148/1764 - 1148/1764 simplified gives 41/63
- So, 8/36 + 21/49 = 41/63
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