Solve 3/5div2/10div3/5=

$$\frac{ 3 }{ 5 } \div \frac{ 2 }{ 10 } \div \frac{ 3 }{ 5 } =$$

Evaluate

$$5$$

Solution Steps

Divide \frac{\frac{3}{5}}{\frac{2}{10}} by \frac{3}{5} by multiplying \frac{\frac{3}{5}}{\frac{2}{10}} by the reciprocal of \frac{3}{5}.

$$\frac{\frac{3}{5}\times 5}{\frac{2}{10}\times 3}$$

Cancel out 5 and 5.

$$\frac{3}{\frac{2}{10}\times 3}$$

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

$$\frac{3}{\frac{1}{5}\times 3}$$

Multiply \frac{1}{5} and 3 to get \frac{3}{5}.

$$\frac{3}{\frac{3}{5}}$$

Divide 3 by \frac{3}{5} by multiplying 3 by the reciprocal of \frac{3}{5}.

$$3\times \frac{5}{3}$$

Cancel out 3 and 3.

$$5$$

Factor

$$5$$