Solve 6/11+4/7

$$\frac{ 6 }{ 11 } + \frac{ 4 }{ 7 }$$

Evaluate

$$\frac{86}{77}\approx 1.116883117$$

Solution Steps

Least common multiple of 11 and 7 is 77. Convert \frac{6}{11} and \frac{4}{7} to fractions with denominator 77.

$$\frac{42}{77}+\frac{44}{77}$$

Since \frac{42}{77} and \frac{44}{77} have the same denominator, add them by adding their numerators.

$$\frac{42+44}{77}$$

Add 42 and 44 to get 86.

$$\frac{86}{77}$$

Factor

$$\frac{2 \cdot 43}{7 \cdot 11} = 1\frac{9}{77} = 1.1168831168831168$$