Add 21/8 and 28/49, Solve 2 5/8 + 28/49 as a fraction

Add 21/8 and 28/49

1^st number: 2 5/8, 2^nd number: 28/49

21/8 + 28/49 is 179/56.

Find the least common denominator or LCM of the two denominators:
LCM of 8 and 49 is 392

Next, find the equivalent fraction of both fractional numbers with denominator 392
For the 1st fraction, since 8 × 49 = 392,
21/8 = 21 × 49/8 × 49 = 1029/392
Likewise, for the 2nd fraction, since 49 × 8 = 392,
28/49 = 28 × 8/49 × 8 = 224/392
Add the two like fractions:
1029/392 + 224/392 = 1029 + 224/392 = 1253/392
1253/392 simplified gives 179/56
So, 21/8 + 28/49 = 179/56
In mixed form: 311/56

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