Add 40/42 and 7/81
40/42 + 7/81 is 589/567.
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,
40/42 = 40 × 27/42 × 27 = 1080/1134 - Likewise, for the 2nd fraction, since 81 × 14 = 1134,
7/81 = 7 × 14/81 × 14 = 98/1134 - Add the two like fractions:
1080/1134 + 98/1134 = 1080 + 98/1134 = 1178/1134 - 1178/1134 simplified gives 589/567
- So, 40/42 + 7/81 = 589/567
In mixed form: 122/567
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