We want to add the following 2 fractions:

1
5
+
  
6
7

Denominator 1 ≠ Denominator 2.We need matching denominators

Multiply fraction 1 numerator * fraction 2 denominator.
Multiply fraction 2 numerator by the fraction 1 denominator

We add those 2 results, and get our numerator.
Our denominator is the product of the denominators of both fractions.

Fraction 1 + Fraction 2  =  Numerator 1 x Denominator 2 + Numerator 2 x Denominator 1
  Denominator 1 x Denominator 2

Fraction 1 + Fraction 2  =  1 x 7 + 6 x 5
  5 x 7

Fraction 1 + Fraction 2  =  7 + 30
  35

Fraction 1 + Fraction 2  =  37
  35

Check if simplified

Our fraction is already reduced.
This means our fraction has a Greatest Common Factor (GCF) = 1.
Therefore, we have our answer:

Answer = 37/35


Answer  =  37
  35

Final Answer


37/35