Add 21/98 and 84/27, Solve 21/98 + 3 3/27 as a fraction

Add 21/98 and 84/27

1^st number: 21/98, 2^nd number: 3 3/27

21/98 + 84/27 is 419/126.

Find the least common denominator or LCM of the two denominators:
LCM of 98 and 27 is 2646

Next, find the equivalent fraction of both fractional numbers with denominator 2646
For the 1st fraction, since 98 × 27 = 2646,
21/98 = 21 × 27/98 × 27 = 567/2646
Likewise, for the 2nd fraction, since 27 × 98 = 2646,
84/27 = 84 × 98/27 × 98 = 8232/2646
Add the two like fractions:
567/2646 + 8232/2646 = 567 + 8232/2646 = 8799/2646
8799/2646 simplified gives 419/126
So, 21/98 + 84/27 = 419/126
In mixed form: 341/126

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