Add 36/81 and 27/42
36/81 + 27/42 is 137/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 42 is 1134
Next, find the equivalent fraction of both fractional numbers with denominator 1134 - For the 1st fraction, since 81 × 14 = 1134,
36/81 = 36 × 14/81 × 14 = 504/1134 - Likewise, for the 2nd fraction, since 42 × 27 = 1134,
27/42 = 27 × 27/42 × 27 = 729/1134 - Add the two like fractions:
504/1134 + 729/1134 = 504 + 729/1134 = 1233/1134 - 1233/1134 simplified gives 137/126
- So, 36/81 + 27/42 = 137/126
In mixed form: 111/126
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