Add 35/6 and 56/49, Solve 5 5/6 + 1 7/49 as a fraction

Add 35/6 and 56/49

1^st number: 5 5/6, 2^nd number: 1 7/49

35/6 + 56/49 is 293/42.

Find the least common denominator or LCM of the two denominators:
LCM of 6 and 49 is 294

Next, find the equivalent fraction of both fractional numbers with denominator 294
For the 1st fraction, since 6 × 49 = 294,
35/6 = 35 × 49/6 × 49 = 1715/294
Likewise, for the 2nd fraction, since 49 × 6 = 294,
56/49 = 56 × 6/49 × 6 = 336/294
Add the two like fractions:
1715/294 + 336/294 = 1715 + 336/294 = 2051/294
2051/294 simplified gives 293/42
So, 35/6 + 56/49 = 293/42
In mixed form: 641/42

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