Add 21/42 and 98/27, Solve 21/42 + 3 17/27 as a fraction

Add 21/42 and 98/27

1^st number: 21/42, 2^nd number: 3 17/27

21/42 + 98/27 is 223/54.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 42 × 9 = 378,
21/42 = 21 × 9/42 × 9 = 189/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
98/27 = 98 × 14/27 × 14 = 1372/378
Add the two like fractions:
189/378 + 1372/378 = 189 + 1372/378 = 1561/378
1561/378 simplified gives 223/54
So, 21/42 + 98/27 = 223/54
In mixed form: 47/54

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