Add 28/42 and 28/81
28/42 + 28/81 is 82/81.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 81 is 1134
Next, find the equivalent fraction of both fractional numbers with denominator 1134 - For the 1st fraction, since 42 × 27 = 1134,
28/42 = 28 × 27/42 × 27 = 756/1134 - Likewise, for the 2nd fraction, since 81 × 14 = 1134,
28/81 = 28 × 14/81 × 14 = 392/1134 - Add the two like fractions:
756/1134 + 392/1134 = 756 + 392/1134 = 1148/1134 - 1148/1134 simplified gives 82/81
- So, 28/42 + 28/81 = 82/81
In mixed form: 11/81
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