Add 9/49 and 10/36
9/49 + 10/36 is 407/882.
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,
9/49 = 9 × 36/49 × 36 = 324/1764 - Likewise, for the 2nd fraction, since 36 × 49 = 1764,
10/36 = 10 × 49/36 × 49 = 490/1764 - Add the two like fractions:
324/1764 + 490/1764 = 324 + 490/1764 = 814/1764 - 814/1764 simplified gives 407/882
- So, 9/49 + 10/36 = 407/882
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