Add 14/84 and 49/18, Solve 14/84 + 2 13/18 as a fraction

Add 14/84 and 49/18

1^st number: 14/84, 2^nd number: 2 13/18

14/84 + 49/18 is 26/9.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 18 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 84 × 3 = 252,
14/84 = 14 × 3/84 × 3 = 42/252
Likewise, for the 2nd fraction, since 18 × 14 = 252,
49/18 = 49 × 14/18 × 14 = 686/252
Add the two like fractions:
42/252 + 686/252 = 42 + 686/252 = 728/252
728/252 simplified gives 26/9
So, 14/84 + 49/18 = 26/9
In mixed form: 28/9

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