Solve 71/5*2/3/9frac{3{5}}div12/5

$$\frac { 7 \frac { 1 } { 5 } \times \frac { 2 } { 3 } } { 9 \frac { 3 } { 5 } } \div 1 \frac { 2 } { 5 }$$

Evaluate

$$\frac{5}{14}\approx 0.357142857$$

Solution Steps

Divide \frac{\frac{7\times 5+1}{5}\times \frac{2}{3}}{\frac{9\times 5+3}{5}} by \frac{1\times 5+2}{5} by multiplying \frac{\frac{7\times 5+1}{5}\times \frac{2}{3}}{\frac{9\times 5+3}{5}} by the reciprocal of \frac{1\times 5+2}{5}.

$$\frac{\frac{7\times 5+1}{5}\times \frac{2}{3}\times 5}{\frac{9\times 5+3}{5}\left(1\times 5+2\right)}$$

Multiply 7 and 5 to get 35.

$$\frac{\frac{35+1}{5}\times \frac{2}{3}\times 5}{\frac{9\times 5+3}{5}\left(1\times 5+2\right)}$$

Add 35 and 1 to get 36.

$$\frac{\frac{36}{5}\times \frac{2}{3}\times 5}{\frac{9\times 5+3}{5}\left(1\times 5+2\right)}$$

Multiply \frac{36}{5} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{36\times 2}{5\times 3}\times 5}{\frac{9\times 5+3}{5}\left(1\times 5+2\right)}$$

Do the multiplications in the fraction \frac{36\times 2}{5\times 3}.

$$\frac{\frac{72}{15}\times 5}{\frac{9\times 5+3}{5}\left(1\times 5+2\right)}$$

Reduce the fraction \frac{72}{15} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{24}{5}\times 5}{\frac{9\times 5+3}{5}\left(1\times 5+2\right)}$$

Cancel out 5 and 5.

$$\frac{24}{\frac{9\times 5+3}{5}\left(1\times 5+2\right)}$$

Multiply 9 and 5 to get 45.

$$\frac{24}{\frac{45+3}{5}\left(1\times 5+2\right)}$$

Add 45 and 3 to get 48.

$$\frac{24}{\frac{48}{5}\left(1\times 5+2\right)}$$

Multiply 1 and 5 to get 5.

$$\frac{24}{\frac{48}{5}\left(5+2\right)}$$

Add 5 and 2 to get 7.

$$\frac{24}{\frac{48}{5}\times 7}$$

Express \frac{48}{5}\times 7 as a single fraction.

$$\frac{24}{\frac{48\times 7}{5}}$$

Multiply 48 and 7 to get 336.

$$\frac{24}{\frac{336}{5}}$$

Divide 24 by \frac{336}{5} by multiplying 24 by the reciprocal of \frac{336}{5}.

$$24\times \frac{5}{336}$$

Express 24\times \frac{5}{336} as a single fraction.

$$\frac{24\times 5}{336}$$

Multiply 24 and 5 to get 120.

$$\frac{120}{336}$$

Reduce the fraction \frac{120}{336} to lowest terms by extracting and canceling out 24.

$$\frac{5}{14}$$

Factor

$$\frac{5}{2 \cdot 7} = 0.35714285714285715$$