Add 14/5 and 28/49, Solve 2 4/5 + 28/49 as a fraction

Add 14/5 and 28/49

1^st number: 2 4/5, 2^nd number: 28/49

14/5 + 28/49 is 118/35.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 49 is 245

Next, find the equivalent fraction of both fractional numbers with denominator 245
For the 1st fraction, since 5 × 49 = 245,
14/5 = 14 × 49/5 × 49 = 686/245
Likewise, for the 2nd fraction, since 49 × 5 = 245,
28/49 = 28 × 5/49 × 5 = 140/245
Add the two like fractions:
686/245 + 140/245 = 686 + 140/245 = 826/245
826/245 simplified gives 118/35
So, 14/5 + 28/49 = 118/35
In mixed form: 313/35

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