Add 10/27 and 84/49, Solve 10/27 + 1 35/49 as a fraction

Add 10/27 and 84/49

1^st number: 10/27, 2^nd number: 1 35/49

10/27 + 84/49 is 394/189.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323

Next, find the equivalent fraction of both fractional numbers with denominator 1323
For the 1st fraction, since 27 × 49 = 1323,
10/27 = 10 × 49/27 × 49 = 490/1323
Likewise, for the 2nd fraction, since 49 × 27 = 1323,
84/49 = 84 × 27/49 × 27 = 2268/1323
Add the two like fractions:
490/1323 + 2268/1323 = 490 + 2268/1323 = 2758/1323
2758/1323 simplified gives 394/189
So, 10/27 + 84/49 = 394/189
In mixed form: 216/189

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