Solve 143*2/5*2+6/10/frac{5{10}+5/10}frac{11}{10}

$$\frac { 14 \frac { 3 \times 2 } { 5 \times 2 } + \frac { 6 } { 10 } } { \frac { 5 } { 10 } + \frac { 5 } { 10 } } \frac { 11 } { 10 }$$

Evaluate

$$\frac{99}{10}=9.9$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{14\times \frac{3}{5}+\frac{6}{10}}{\frac{5}{10}+\frac{5}{10}}\times \frac{11}{10}$$

Express 14\times \frac{3}{5} as a single fraction.

$$\frac{\frac{14\times 3}{5}+\frac{6}{10}}{\frac{5}{10}+\frac{5}{10}}\times \frac{11}{10}$$

Multiply 14 and 3 to get 42.

$$\frac{\frac{42}{5}+\frac{6}{10}}{\frac{5}{10}+\frac{5}{10}}\times \frac{11}{10}$$

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

$$\frac{\frac{42}{5}+\frac{3}{5}}{\frac{5}{10}+\frac{5}{10}}\times \frac{11}{10}$$

Since \frac{42}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{42+3}{5}}{\frac{5}{10}+\frac{5}{10}}\times \frac{11}{10}$$

Add 42 and 3 to get 45.

$$\frac{\frac{45}{5}}{\frac{5}{10}+\frac{5}{10}}\times \frac{11}{10}$$

Divide 45 by 5 to get 9.

$$\frac{9}{\frac{5}{10}+\frac{5}{10}}\times \frac{11}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{9}{\frac{1}{2}+\frac{5}{10}}\times \frac{11}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{9}{\frac{1}{2}+\frac{1}{2}}\times \frac{11}{10}$$

Since \frac{1}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{9}{\frac{1+1}{2}}\times \frac{11}{10}$$

Add 1 and 1 to get 2.

$$\frac{9}{\frac{2}{2}}\times \frac{11}{10}$$

Divide 2 by 2 to get 1.

$$\frac{9}{1}\times \frac{11}{10}$$

Anything divided by one gives itself.

$$9\times \frac{11}{10}$$

Express 9\times \frac{11}{10} as a single fraction.

$$\frac{9\times 11}{10}$$

Multiply 9 and 11 to get 99.

$$\frac{99}{10}$$

Factor

$$\frac{3 ^ {2} \cdot 11}{2 \cdot 5} = 9\frac{9}{10} = 9.9$$