Add 1/7 and 21/18, Solve 1/7 + 1 3/18 as a fraction

Add 1/7 and 21/18

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

1/7 + 21/18 is 55/42.

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,
1/7 = 1 × 18/7 × 18 = 18/126
Likewise, for the 2nd fraction, since 18 × 7 = 126,
21/18 = 21 × 7/18 × 7 = 147/126
Add the two like fractions:
18/126 + 147/126 = 18 + 147/126 = 165/126
165/126 simplified gives 55/42
So, 1/7 + 21/18 = 55/42
In mixed form: 113/42

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