Solve 17/4*0.4*4/17*0.25

$$\frac { 17 } { 4 } \times 0.4 \times \frac { 4 } { 17 } \times 0.25$$

Evaluate

$$0.1$$

Solution Steps

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{17}{4}\times \frac{2}{5}\times \frac{4}{17}\times 0.25$$

Multiply \frac{17}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 2}{4\times 5}\times \frac{4}{17}\times 0.25$$

Do the multiplications in the fraction \frac{17\times 2}{4\times 5}.

$$\frac{34}{20}\times \frac{4}{17}\times 0.25$$

Reduce the fraction \frac{34}{20} to lowest terms by extracting and canceling out 2.

$$\frac{17}{10}\times \frac{4}{17}\times 0.25$$

Multiply \frac{17}{10} times \frac{4}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 4}{10\times 17}\times 0.25$$

Cancel out 17 in both numerator and denominator.

$$\frac{4}{10}\times 0.25$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}\times 0.25$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{2}{5}\times \frac{1}{4}$$

Multiply \frac{2}{5} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 1}{5\times 4}$$

Do the multiplications in the fraction \frac{2\times 1}{5\times 4}.

$$\frac{2}{20}$$

Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$