Add 14/5 and 42/98, Solve 2 4/5 + 42/98 as a fraction

Add 14/5 and 42/98

1^st number: 2 4/5, 2^nd number: 42/98

14/5 + 42/98 is 113/35.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 98 is 490

Next, find the equivalent fraction of both fractional numbers with denominator 490
For the 1st fraction, since 5 × 98 = 490,
14/5 = 14 × 98/5 × 98 = 1372/490
Likewise, for the 2nd fraction, since 98 × 5 = 490,
42/98 = 42 × 5/98 × 5 = 210/490
Add the two like fractions:
1372/490 + 210/490 = 1372 + 210/490 = 1582/490
1582/490 simplified gives 113/35
So, 14/5 + 42/98 = 113/35
In mixed form: 38/35

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