Add 35/14 and 75/9, Solve 2 7/14 + 8 3/9 as a fraction

Add 35/14 and 75/9

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

35/14 + 75/9 is 65/6.

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

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 14 × 9 = 126,
35/14 = 35 × 9/14 × 9 = 315/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
75/9 = 75 × 14/9 × 14 = 1050/126
Add the two like fractions:
315/126 + 1050/126 = 315 + 1050/126 = 1365/126
1365/126 simplified gives 65/6
So, 35/14 + 75/9 = 65/6
In mixed form: 105/6

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