Add 42/98 and 28/36
42/98 + 28/36 is 76/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 36 is 1764
Next, find the equivalent fraction of both fractional numbers with denominator 1764 - For the 1st fraction, since 98 × 18 = 1764,
42/98 = 42 × 18/98 × 18 = 756/1764 - Likewise, for the 2nd fraction, since 36 × 49 = 1764,
28/36 = 28 × 49/36 × 49 = 1372/1764 - Add the two like fractions:
756/1764 + 1372/1764 = 756 + 1372/1764 = 2128/1764 - 2128/1764 simplified gives 76/63
- So, 42/98 + 28/36 = 76/63
In mixed form: 113/63
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