Add 10/49 and 35/36
10/49 + 35/36 is 2075/1764.
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,
10/49 = 10 × 36/49 × 36 = 360/1764 - Likewise, for the 2nd fraction, since 36 × 49 = 1764,
35/36 = 35 × 49/36 × 49 = 1715/1764 - Add the two like fractions:
360/1764 + 1715/1764 = 360 + 1715/1764 = 2075/1764 - So, 10/49 + 35/36 = 2075/1764
In mixed form: 1311/1764
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