Add 10/36 and 3/49
10/36 + 3/49 is 299/882.
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,
10/36 = 10 × 49/36 × 49 = 490/1764 - Likewise, for the 2nd fraction, since 49 × 36 = 1764,
3/49 = 3 × 36/49 × 36 = 108/1764 - Add the two like fractions:
490/1764 + 108/1764 = 490 + 108/1764 = 598/1764 - 598/1764 simplified gives 299/882
- So, 10/36 + 3/49 = 299/882
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