Add 6/36 and 42/49
6/36 + 42/49 is 43/42.
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,
6/36 = 6 × 49/36 × 49 = 294/1764 - Likewise, for the 2nd fraction, since 49 × 36 = 1764,
42/49 = 42 × 36/49 × 36 = 1512/1764 - Add the two like fractions:
294/1764 + 1512/1764 = 294 + 1512/1764 = 1806/1764 - 1806/1764 simplified gives 43/42
- So, 6/36 + 42/49 = 43/42
In mixed form: 11/42
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