Add 27/7 and 40/18, Solve 3 6/7 + 2 4/18 as a fraction

Add 27/7 and 40/18

1^st number: 3 6/7, 2^nd number: 2 4/18

27/7 + 40/18 is 383/63.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 18 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 7 × 18 = 126,
27/7 = 27 × 18/7 × 18 = 486/126
Likewise, for the 2nd fraction, since 18 × 7 = 126,
40/18 = 40 × 7/18 × 7 = 280/126
Add the two like fractions:
486/126 + 280/126 = 486 + 280/126 = 766/126
766/126 simplified gives 383/63
So, 27/7 + 40/18 = 383/63
In mixed form: 65/63

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