Add 84/96 and 40/27, Solve 84/96 + 1 13/27 as a fraction

Add 84/96 and 40/27

1^st number: 84/96, 2^nd number: 1 13/27

84/96 + 40/27 is 509/216.

Find the least common denominator or LCM of the two denominators:
LCM of 96 and 27 is 864

Next, find the equivalent fraction of both fractional numbers with denominator 864
For the 1st fraction, since 96 × 9 = 864,
84/96 = 84 × 9/96 × 9 = 756/864
Likewise, for the 2nd fraction, since 27 × 32 = 864,
40/27 = 40 × 32/27 × 32 = 1280/864
Add the two like fractions:
756/864 + 1280/864 = 756 + 1280/864 = 2036/864
2036/864 simplified gives 509/216
So, 84/96 + 40/27 = 509/216
In mixed form: 277/216

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