Add 7/98 and 84/36, Solve 7/98 + 2 12/36 as a fraction

Add 7/98 and 84/36

1^st number: 7/98, 2^nd number: 2 12/36

7/98 + 84/36 is 101/42.

Find the least common denominator or LCM of the two denominators:
LCM of 98 and 36 is 1764

Next, find the equivalent fraction of both fractional numbers with denominator 1764
For the 1st fraction, since 98 × 18 = 1764,
7/98 = 7 × 18/98 × 18 = 126/1764
Likewise, for the 2nd fraction, since 36 × 49 = 1764,
84/36 = 84 × 49/36 × 49 = 4116/1764
Add the two like fractions:
126/1764 + 4116/1764 = 126 + 4116/1764 = 4242/1764
4242/1764 simplified gives 101/42
So, 7/98 + 84/36 = 101/42
In mixed form: 217/42

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