Solve 11/2div11/4div12/3div11/5

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

Evaluate

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

Solution Steps

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

$$\frac{\frac{\frac{1\times 2+1}{2}}{\frac{1\times 4+1}{4}}\times 5}{\frac{1\times 3+2}{3}\left(1\times 5+1\right)}$$

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

$$\frac{\frac{\left(1\times 2+1\right)\times 4}{2\left(1\times 4+1\right)}\times 5}{\frac{1\times 3+2}{3}\left(1\times 5+1\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{\frac{2\left(1+2\right)}{1+4}\times 5}{\frac{1\times 3+2}{3}\left(1\times 5+1\right)}$$

Add 1 and 2 to get 3.

$$\frac{\frac{2\times 3}{1+4}\times 5}{\frac{1\times 3+2}{3}\left(1\times 5+1\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{6}{1+4}\times 5}{\frac{1\times 3+2}{3}\left(1\times 5+1\right)}$$

Add 1 and 4 to get 5.

$$\frac{\frac{6}{5}\times 5}{\frac{1\times 3+2}{3}\left(1\times 5+1\right)}$$

Cancel out 5 and 5.

$$\frac{6}{\frac{1\times 3+2}{3}\left(1\times 5+1\right)}$$

Multiply 1 and 3 to get 3.

$$\frac{6}{\frac{3+2}{3}\left(1\times 5+1\right)}$$

Add 3 and 2 to get 5.

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

Multiply 1 and 5 to get 5.

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

Add 5 and 1 to get 6.

$$\frac{6}{\frac{5}{3}\times 6}$$

Express \frac{5}{3}\times 6 as a single fraction.

$$\frac{6}{\frac{5\times 6}{3}}$$

Multiply 5 and 6 to get 30.

$$\frac{6}{\frac{30}{3}}$$

Divide 30 by 3 to get 10.

$$\frac{6}{10}$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

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

Factor

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