Solve 1.6/50/2*frac{0.65{5}}

$$\frac{ \frac{ 1.6 }{ 50 } }{ 2 \times \frac{ 0.65 }{ 5 } }$$

Evaluate

$$\frac{8}{65}\approx 0.123076923$$

Solution Steps

Expand \frac{1.6}{50} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{16}{500}}{2\times \frac{0.65}{5}}$$

Reduce the fraction \frac{16}{500} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{4}{125}}{2\times \frac{0.65}{5}}$$

Expand \frac{0.65}{5} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{4}{125}}{2\times \frac{65}{500}}$$

Reduce the fraction \frac{65}{500} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{4}{125}}{2\times \frac{13}{100}}$$

Express 2\times \frac{13}{100} as a single fraction.

$$\frac{\frac{4}{125}}{\frac{2\times 13}{100}}$$

Multiply 2 and 13 to get 26.

$$\frac{\frac{4}{125}}{\frac{26}{100}}$$

Reduce the fraction \frac{26}{100} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{4}{125}}{\frac{13}{50}}$$

Divide \frac{4}{125} by \frac{13}{50} by multiplying \frac{4}{125} by the reciprocal of \frac{13}{50}.

$$\frac{4}{125}\times \frac{50}{13}$$

Multiply \frac{4}{125} times \frac{50}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 50}{125\times 13}$$

Do the multiplications in the fraction \frac{4\times 50}{125\times 13}.

$$\frac{200}{1625}$$

Reduce the fraction \frac{200}{1625} to lowest terms by extracting and canceling out 25.

$$\frac{8}{65}$$

Factor

$$\frac{2 ^ {3}}{5 \cdot 13} = 0.12307692307692308$$