Solve 64/frac{1{10}}div4=

$$\frac{ 64 }{ \frac{ 1 }{ 10 } } \div 4=$$

Evaluate

$$160$$

Solution Steps

Express \frac{\frac{64}{\frac{1}{10}}}{4} as a single fraction.

$$\frac{64}{\frac{1}{10}\times 4}$$

Multiply \frac{1}{10} and 4 to get \frac{4}{10}.

$$\frac{64}{\frac{4}{10}}$$

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

$$\frac{64}{\frac{2}{5}}$$

Divide 64 by \frac{2}{5} by multiplying 64 by the reciprocal of \frac{2}{5}.

$$64\times \frac{5}{2}$$

Express 64\times \frac{5}{2} as a single fraction.

$$\frac{64\times 5}{2}$$

Multiply 64 and 5 to get 320.

$$\frac{320}{2}$$

Divide 320 by 2 to get 160.

$$160$$

Factor

$$2^{5}\times 5$$