Add 27/84 and 64/49, Solve 27/84 + 1 15/49 as a fraction

Add 27/84 and 64/49

1^st number: 27/84, 2^nd number: 1 15/49

27/84 + 64/49 is 319/196.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 49 is 588

Next, find the equivalent fraction of both fractional numbers with denominator 588
For the 1st fraction, since 84 × 7 = 588,
27/84 = 27 × 7/84 × 7 = 189/588
Likewise, for the 2nd fraction, since 49 × 12 = 588,
64/49 = 64 × 12/49 × 12 = 768/588
Add the two like fractions:
189/588 + 768/588 = 189 + 768/588 = 957/588
957/588 simplified gives 319/196
So, 27/84 + 64/49 = 319/196
In mixed form: 1123/196

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