Solve 1/7*(3+11/5)

$$\frac { 1 } { 7 } \times ( 3 + 1 \frac { 1 } { 5 } )$$

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{1}{7}\left(3+\frac{5+1}{5}\right)$$

Add 5 and 1 to get 6.

$$\frac{1}{7}\left(3+\frac{6}{5}\right)$$

Convert 3 to fraction \frac{15}{5}.

$$\frac{1}{7}\left(\frac{15}{5}+\frac{6}{5}\right)$$

Since \frac{15}{5} and \frac{6}{5} have the same denominator, add them by adding their numerators.

$$\frac{1}{7}\times \frac{15+6}{5}$$

Add 15 and 6 to get 21.

$$\frac{1}{7}\times \frac{21}{5}$$

Multiply \frac{1}{7} times \frac{21}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 21}{7\times 5}$$

Do the multiplications in the fraction \frac{1\times 21}{7\times 5}.

$$\frac{21}{35}$$

Reduce the fraction \frac{21}{35} to lowest terms by extracting and canceling out 7.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$