Add 27/18 and 40/14, Solve 1 9/18 + 2 12/14 as a fraction

Add 27/18 and 40/14

1^st number: 1 9/18, 2^nd number: 2 12/14

27/18 + 40/14 is 61/14.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 14 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 18 × 7 = 126,
27/18 = 27 × 7/18 × 7 = 189/126
Likewise, for the 2nd fraction, since 14 × 9 = 126,
40/14 = 40 × 9/14 × 9 = 360/126
Add the two like fractions:
189/126 + 360/126 = 189 + 360/126 = 549/126
549/126 simplified gives 61/14
So, 27/18 + 40/14 = 61/14
In mixed form: 45/14

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