Add 21/14 and 84/27, Solve 1 7/14 + 3 3/27 as a fraction

Add 21/14 and 84/27

1^st number: 1 7/14, 2^nd number: 3 3/27

21/14 + 84/27 is 83/18.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 14 × 27 = 378,
21/14 = 21 × 27/14 × 27 = 567/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
84/27 = 84 × 14/27 × 14 = 1176/378
Add the two like fractions:
567/378 + 1176/378 = 567 + 1176/378 = 1743/378
1743/378 simplified gives 83/18
So, 21/14 + 84/27 = 83/18
In mixed form: 411/18

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