Add 21/2 and 7/49, Solve 10 1/2 + 7/49 as a fraction

Add 21/2 and 7/49

1^st number: 10 1/2, 2^nd number: 7/49

21/2 + 7/49 is 149/14.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 49 is 98

Next, find the equivalent fraction of both fractional numbers with denominator 98
For the 1st fraction, since 2 × 49 = 98,
21/2 = 21 × 49/2 × 49 = 1029/98
Likewise, for the 2nd fraction, since 49 × 2 = 98,
7/49 = 7 × 2/49 × 2 = 14/98
Add the two like fractions:
1029/98 + 14/98 = 1029 + 14/98 = 1043/98
1043/98 simplified gives 149/14
So, 21/2 + 7/49 = 149/14
In mixed form: 109/14

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