Solve 11/5div41/2div3/10=

$$1 \frac { 1 } { 5 } \div 4 \frac { 1 } { 2 } \div \frac { 3 } { 10 } =$$

Evaluate

$$\frac{8}{9}\approx 0.888888889$$

Solution Steps

Divide \frac{\frac{1\times 5+1}{5}}{\frac{4\times 2+1}{2}} by \frac{3}{10} by multiplying \frac{\frac{1\times 5+1}{5}}{\frac{4\times 2+1}{2}} by the reciprocal of \frac{3}{10}.

$$\frac{\frac{1\times 5+1}{5}\times 10}{\frac{4\times 2+1}{2}\times 3}$$

Multiply 1 and 5 to get 5.

$$\frac{\frac{5+1}{5}\times 10}{\frac{4\times 2+1}{2}\times 3}$$

Add 5 and 1 to get 6.

$$\frac{\frac{6}{5}\times 10}{\frac{4\times 2+1}{2}\times 3}$$

Express \frac{6}{5}\times 10 as a single fraction.

$$\frac{\frac{6\times 10}{5}}{\frac{4\times 2+1}{2}\times 3}$$

Multiply 6 and 10 to get 60.

$$\frac{\frac{60}{5}}{\frac{4\times 2+1}{2}\times 3}$$

Divide 60 by 5 to get 12.

$$\frac{12}{\frac{4\times 2+1}{2}\times 3}$$

Multiply 4 and 2 to get 8.

$$\frac{12}{\frac{8+1}{2}\times 3}$$

Add 8 and 1 to get 9.

$$\frac{12}{\frac{9}{2}\times 3}$$

Express \frac{9}{2}\times 3 as a single fraction.

$$\frac{12}{\frac{9\times 3}{2}}$$

Multiply 9 and 3 to get 27.

$$\frac{12}{\frac{27}{2}}$$

Divide 12 by \frac{27}{2} by multiplying 12 by the reciprocal of \frac{27}{2}.

$$12\times \frac{2}{27}$$

Express 12\times \frac{2}{27} as a single fraction.

$$\frac{12\times 2}{27}$$

Multiply 12 and 2 to get 24.

$$\frac{24}{27}$$

Reduce the fraction \frac{24}{27} to lowest terms by extracting and canceling out 3.

$$\frac{8}{9}$$

Factor

$$\frac{2 ^ {3}}{3 ^ {2}} = 0.8888888888888888$$