Add 20/36 and 28/49
20/36 + 28/49 is 71/63.
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,
20/36 = 20 × 49/36 × 49 = 980/1764 - Likewise, for the 2nd fraction, since 49 × 36 = 1764,
28/49 = 28 × 36/49 × 36 = 1008/1764 - Add the two like fractions:
980/1764 + 1008/1764 = 980 + 1008/1764 = 1988/1764 - 1988/1764 simplified gives 71/63
- So, 20/36 + 28/49 = 71/63
In mixed form: 18/63
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