Add 21/14 and 98/27, Solve 1 7/14 + 3 17/27 as a fraction

Add 21/14 and 98/27

1^st number: 1 7/14, 2^nd number: 3 17/27

21/14 + 98/27 is 277/54.

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,
98/27 = 98 × 14/27 × 14 = 1372/378
Add the two like fractions:
567/378 + 1372/378 = 567 + 1372/378 = 1939/378
1939/378 simplified gives 277/54
So, 21/14 + 98/27 = 277/54
In mixed form: 57/54

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