Solve 32/5*11/34*13/14*11/17

$$3 \frac { 2 } { 5 } \times 1 \frac { 1 } { 34 } \times 1 \frac { 3 } { 14 } \times 1 \frac { 1 } { 17 }$$

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+2}{5}\times \frac{1\times 34+1}{34}\times \frac{1\times 14+3}{14}\times \frac{1\times 17+1}{17}$$

Add 15 and 2 to get 17.

$$\frac{17}{5}\times \frac{1\times 34+1}{34}\times \frac{1\times 14+3}{14}\times \frac{1\times 17+1}{17}$$

Multiply 1 and 34 to get 34.

$$\frac{17}{5}\times \frac{34+1}{34}\times \frac{1\times 14+3}{14}\times \frac{1\times 17+1}{17}$$

Add 34 and 1 to get 35.

$$\frac{17}{5}\times \frac{35}{34}\times \frac{1\times 14+3}{14}\times \frac{1\times 17+1}{17}$$

Multiply \frac{17}{5} times \frac{35}{34} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 35}{5\times 34}\times \frac{1\times 14+3}{14}\times \frac{1\times 17+1}{17}$$

Do the multiplications in the fraction \frac{17\times 35}{5\times 34}.

$$\frac{595}{170}\times \frac{1\times 14+3}{14}\times \frac{1\times 17+1}{17}$$

Reduce the fraction \frac{595}{170} to lowest terms by extracting and canceling out 85.

$$\frac{7}{2}\times \frac{1\times 14+3}{14}\times \frac{1\times 17+1}{17}$$

Multiply 1 and 14 to get 14.

$$\frac{7}{2}\times \frac{14+3}{14}\times \frac{1\times 17+1}{17}$$

Add 14 and 3 to get 17.

$$\frac{7}{2}\times \frac{17}{14}\times \frac{1\times 17+1}{17}$$

Multiply \frac{7}{2} times \frac{17}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 17}{2\times 14}\times \frac{1\times 17+1}{17}$$

Do the multiplications in the fraction \frac{7\times 17}{2\times 14}.

$$\frac{119}{28}\times \frac{1\times 17+1}{17}$$

Reduce the fraction \frac{119}{28} to lowest terms by extracting and canceling out 7.

$$\frac{17}{4}\times \frac{1\times 17+1}{17}$$

Multiply 1 and 17 to get 17.

$$\frac{17}{4}\times \frac{17+1}{17}$$

Add 17 and 1 to get 18.

$$\frac{17}{4}\times \frac{18}{17}$$

Multiply \frac{17}{4} times \frac{18}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 18}{4\times 17}$$

Cancel out 17 in both numerator and denominator.

$$\frac{18}{4}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$