Add 30/14 and 27/18, Solve 2 2/14 + 1 9/18 as a fraction

Add 30/14 and 27/18

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

30/14 + 27/18 is 51/14.

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

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 14 × 9 = 126,
30/14 = 30 × 9/14 × 9 = 270/126
Likewise, for the 2nd fraction, since 18 × 7 = 126,
27/18 = 27 × 7/18 × 7 = 189/126
Add the two like fractions:
270/126 + 189/126 = 270 + 189/126 = 459/126
459/126 simplified gives 51/14
So, 30/14 + 27/18 = 51/14
In mixed form: 39/14

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