Add 49/21 and 49/6, Solve 2 7/21 + 8 1/6 as a fraction

Add 49/21 and 49/6

1^st number: 2 7/21, 2^nd number: 8 1/6

49/21 + 49/6 is 21/2.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 6 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 21 × 2 = 42,
49/21 = 49 × 2/21 × 2 = 98/42
Likewise, for the 2nd fraction, since 6 × 7 = 42,
49/6 = 49 × 7/6 × 7 = 343/42
Add the two like fractions:
98/42 + 343/42 = 98 + 343/42 = 441/42
441/42 simplified gives 21/2
So, 49/21 + 49/6 = 21/2
In mixed form: 101/2

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