Add 14/36 and 42/49
14/36 + 42/49 is 157/126.
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,
14/36 = 14 × 49/36 × 49 = 686/1764 - Likewise, for the 2nd fraction, since 49 × 36 = 1764,
42/49 = 42 × 36/49 × 36 = 1512/1764 - Add the two like fractions:
686/1764 + 1512/1764 = 686 + 1512/1764 = 2198/1764 - 2198/1764 simplified gives 157/126
- So, 14/36 + 42/49 = 157/126
In mixed form: 131/126
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