Add 40/49 and 7/36
40/49 + 7/36 is 1783/1764.
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,
40/49 = 40 × 36/49 × 36 = 1440/1764 - Likewise, for the 2nd fraction, since 36 × 49 = 1764,
7/36 = 7 × 49/36 × 49 = 343/1764 - Add the two like fractions:
1440/1764 + 343/1764 = 1440 + 343/1764 = 1783/1764 - So, 40/49 + 7/36 = 1783/1764
In mixed form: 119/1764
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