Add 2/9 and 21/14, Solve 2/9 + 1 7/14 as a fraction

Add 2/9 and 21/14

1^st number: 2/9, 2^nd number: 1 7/14

2/9 + 21/14 is 31/18.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 14 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 9 × 14 = 126,
2/9 = 2 × 14/9 × 14 = 28/126
Likewise, for the 2nd fraction, since 14 × 9 = 126,
21/14 = 21 × 9/14 × 9 = 189/126
Add the two like fractions:
28/126 + 189/126 = 28 + 189/126 = 217/126
217/126 simplified gives 31/18
So, 2/9 + 21/14 = 31/18
In mixed form: 113/18

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