Add 14/4 and 24/49, Solve 3 2/4 + 24/49 as a fraction

Add 14/4 and 24/49

1^st number: 3 2/4, 2^nd number: 24/49

14/4 + 24/49 is 391/98.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 49 is 196

Next, find the equivalent fraction of both fractional numbers with denominator 196
For the 1st fraction, since 4 × 49 = 196,
14/4 = 14 × 49/4 × 49 = 686/196
Likewise, for the 2nd fraction, since 49 × 4 = 196,
24/49 = 24 × 4/49 × 4 = 96/196
Add the two like fractions:
686/196 + 96/196 = 686 + 96/196 = 782/196
782/196 simplified gives 391/98
So, 14/4 + 24/49 = 391/98
In mixed form: 397/98

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