Add 27/10 and 28/49, Solve 2 7/10 + 28/49 as a fraction

Add 27/10 and 28/49

1^st number: 2 7/10, 2^nd number: 28/49

27/10 + 28/49 is 229/70.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 49 is 490

Next, find the equivalent fraction of both fractional numbers with denominator 490
For the 1st fraction, since 10 × 49 = 490,
27/10 = 27 × 49/10 × 49 = 1323/490
Likewise, for the 2nd fraction, since 49 × 10 = 490,
28/49 = 28 × 10/49 × 10 = 280/490
Add the two like fractions:
1323/490 + 280/490 = 1323 + 280/490 = 1603/490
1603/490 simplified gives 229/70
So, 27/10 + 28/49 = 229/70
In mixed form: 319/70

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