Add 40/6 and 63/49, Solve 6 4/6 + 1 14/49 as a fraction

Add 40/6 and 63/49

1^st number: 6 4/6, 2^nd number: 1 14/49

40/6 + 63/49 is 167/21.

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,
40/6 = 40 × 49/6 × 49 = 1960/294
Likewise, for the 2nd fraction, since 49 × 6 = 294,
63/49 = 63 × 6/49 × 6 = 378/294
Add the two like fractions:
1960/294 + 378/294 = 1960 + 378/294 = 2338/294
2338/294 simplified gives 167/21
So, 40/6 + 63/49 = 167/21
In mixed form: 720/21

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