Solve 1/5(6+31+1/5

$$\frac { 1 } { 5 } ( 6 + 31 + \frac { 1 } { 5 }$$

Evaluate

$$\frac{186}{25}=7.44$$

Solution Steps

Add 6 and 31 to get 37.

$$\frac{1}{5}\left(37+\frac{1}{5}\right)$$

Convert 37 to fraction \frac{185}{5}.

$$\frac{1}{5}\left(\frac{185}{5}+\frac{1}{5}\right)$$

Since \frac{185}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$\frac{1}{5}\times \frac{185+1}{5}$$

Add 185 and 1 to get 186.

$$\frac{1}{5}\times \frac{186}{5}$$

Multiply \frac{1}{5} times \frac{186}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 186}{5\times 5}$$

Do the multiplications in the fraction \frac{1\times 186}{5\times 5}.

$$\frac{186}{25}$$

Factor

$$\frac{2 \cdot 3 \cdot 31}{5 ^ {2}} = 7\frac{11}{25} = 7.44$$