Add 10/36 and 27/49
10/36 + 27/49 is 731/882.
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,
27/49 = 27 × 36/49 × 36 = 972/1764 - Add the two like fractions:
490/1764 + 972/1764 = 490 + 972/1764 = 1462/1764 - 1462/1764 simplified gives 731/882
- So, 10/36 + 27/49 = 731/882
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