Add 40/84 and 54/81
40/84 + 54/81 is 8/7.
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,
54/81 = 54 × 28/81 × 28 = 1512/2268 - Add the two like fractions:
1080/2268 + 1512/2268 = 1080 + 1512/2268 = 2592/2268 - 2592/2268 simplified gives 8/7
- So, 40/84 + 54/81 = 8/7
In mixed form: 11/7
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