Add 40/84 and 84/81
1st number: 40/84, 2nd number: 1 3/81
40/84 + 84/81 is 286/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 81 is 2268
Next, find the equivalent fraction of both fractional numbers with denominator 2268 - For the 1st fraction, since 84 × 27 = 2268,
40/84 = 40 × 27/84 × 27 = 1080/2268 - Likewise, for the 2nd fraction, since 81 × 28 = 2268,
84/81 = 84 × 28/81 × 28 = 2352/2268 - Add the two like fractions:
1080/2268 + 2352/2268 = 1080 + 2352/2268 = 3432/2268 - 3432/2268 simplified gives 286/189
- So, 40/84 + 84/81 = 286/189
In mixed form: 197/189
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