Add 36/98 and 84/27, Solve 36/98 + 3 3/27 as a fraction

Add 36/98 and 84/27

1^st number: 36/98, 2^nd number: 3 3/27

36/98 + 84/27 is 1534/441.

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,
36/98 = 36 × 27/98 × 27 = 972/2646
Likewise, for the 2nd fraction, since 27 × 98 = 2646,
84/27 = 84 × 98/27 × 98 = 8232/2646
Add the two like fractions:
972/2646 + 8232/2646 = 972 + 8232/2646 = 9204/2646
9204/2646 simplified gives 1534/441
So, 36/98 + 84/27 = 1534/441
In mixed form: 3211/441

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