Add 7/6 and 40/21, Solve 1 1/6 + 1 19/21 as a fraction

Add 7/6 and 40/21

1^st number: 1 1/6, 2^nd number: 1 19/21

7/6 + 40/21 is 43/14.

Find the least common denominator or LCM of the two denominators:
LCM of 6 and 21 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 6 × 7 = 42,
7/6 = 7 × 7/6 × 7 = 49/42
Likewise, for the 2nd fraction, since 21 × 2 = 42,
40/21 = 40 × 2/21 × 2 = 80/42
Add the two like fractions:
49/42 + 80/42 = 49 + 80/42 = 129/42
129/42 simplified gives 43/14
So, 7/6 + 40/21 = 43/14
In mixed form: 31/14

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