Add 35/42 and 56/21, Solve 35/42 + 2 14/21 as a fraction

Add 35/42 and 56/21

1^st number: 35/42, 2^nd number: 2 14/21

35/42 + 56/21 is 7/2.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 21 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 42 × 1 = 42,
35/42 = 35 × 1/42 × 1 = 35/42
Likewise, for the 2nd fraction, since 21 × 2 = 42,
56/21 = 56 × 2/21 × 2 = 112/42
Add the two like fractions:
35/42 + 112/42 = 35 + 112/42 = 147/42
147/42 simplified gives 7/2
So, 35/42 + 56/21 = 7/2
In mixed form: 31/2

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