Add 10/36 and 9/49
10/36 + 9/49 is 407/882.
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,
9/49 = 9 × 36/49 × 36 = 324/1764 - Add the two like fractions:
490/1764 + 324/1764 = 490 + 324/1764 = 814/1764 - 814/1764 simplified gives 407/882
- So, 10/36 + 9/49 = 407/882
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