Add 35/9 and 7/14, Solve 3 8/9 + 7/14 as a fraction

Add 35/9 and 7/14

1^st number: 3 8/9, 2^nd number: 7/14

35/9 + 7/14 is 79/18.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 14 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 9 × 14 = 126,
35/9 = 35 × 14/9 × 14 = 490/126
Likewise, for the 2nd fraction, since 14 × 9 = 126,
7/14 = 7 × 9/14 × 9 = 63/126
Add the two like fractions:
490/126 + 63/126 = 490 + 63/126 = 553/126
553/126 simplified gives 79/18
So, 35/9 + 7/14 = 79/18
In mixed form: 47/18

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