Solve (51/5)div(2div1/3)

$$( 5 \frac { 1 } { 5 } ) \div ( 2 \div \frac { 1 } { 3 } )$$

Evaluate

$$\frac{13}{15}\approx 0.866666667$$

Solution Steps

Divide \frac{5\times 5+1}{5} by \frac{2}{\frac{1}{3}} by multiplying \frac{5\times 5+1}{5} by the reciprocal of \frac{2}{\frac{1}{3}}.

$$\frac{\left(5\times 5+1\right)\times \frac{1}{3}}{5\times 2}$$

Multiply 5 and 5 to get 25.

$$\frac{\left(25+1\right)\times \frac{1}{3}}{5\times 2}$$

Add 25 and 1 to get 26.

$$\frac{26\times \frac{1}{3}}{5\times 2}$$

Multiply 26 and \frac{1}{3} to get \frac{26}{3}.

$$\frac{\frac{26}{3}}{5\times 2}$$

Multiply 5 and 2 to get 10.

$$\frac{\frac{26}{3}}{10}$$

Express \frac{\frac{26}{3}}{10} as a single fraction.

$$\frac{26}{3\times 10}$$

Multiply 3 and 10 to get 30.

$$\frac{26}{30}$$

Reduce the fraction \frac{26}{30} to lowest terms by extracting and canceling out 2.

$$\frac{13}{15}$$

Factor

$$\frac{13}{3 \cdot 5} = 0.8666666666666667$$