Add 21/4 and 28/49, Solve 5 1/4 + 28/49 as a fraction

Add 21/4 and 28/49

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

21/4 + 28/49 is 163/28.

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,
21/4 = 21 × 49/4 × 49 = 1029/196
Likewise, for the 2nd fraction, since 49 × 4 = 196,
28/49 = 28 × 4/49 × 4 = 112/196
Add the two like fractions:
1029/196 + 112/196 = 1029 + 112/196 = 1141/196
1141/196 simplified gives 163/28
So, 21/4 + 28/49 = 163/28
In mixed form: 523/28

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