Add 35/21 and 16/9, Solve 1 14/21 + 1 7/9 as a fraction

Add 35/21 and 16/9

1^st number: 1 14/21, 2^nd number: 1 7/9

35/21 + 16/9 is 31/9.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 9 is 63

Next, find the equivalent fraction of both fractional numbers with denominator 63
For the 1st fraction, since 21 × 3 = 63,
35/21 = 35 × 3/21 × 3 = 105/63
Likewise, for the 2nd fraction, since 9 × 7 = 63,
16/9 = 16 × 7/9 × 7 = 112/63
Add the two like fractions:
105/63 + 112/63 = 105 + 112/63 = 217/63
217/63 simplified gives 31/9
So, 35/21 + 16/9 = 31/9
In mixed form: 34/9

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