Add 14/3 and 21/98, Solve 4 2/3 + 21/98 as a fraction

Add 14/3 and 21/98

1^st number: 4 2/3, 2^nd number: 21/98

14/3 + 21/98 is 205/42.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 98 is 294

Next, find the equivalent fraction of both fractional numbers with denominator 294
For the 1st fraction, since 3 × 98 = 294,
14/3 = 14 × 98/3 × 98 = 1372/294
Likewise, for the 2nd fraction, since 98 × 3 = 294,
21/98 = 21 × 3/98 × 3 = 63/294
Add the two like fractions:
1372/294 + 63/294 = 1372 + 63/294 = 1435/294
1435/294 simplified gives 205/42
So, 14/3 + 21/98 = 205/42
In mixed form: 437/42

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