Solve 25*1/3div5/2*3/10=

$$25 \times \frac{ 1 }{ 3 } \div \frac{ 5 }{ 2 } \times \frac{ 3 }{ 10 } =$$

Evaluate

$$1$$

Solution Steps

Multiply 25 and \frac{1}{3} to get \frac{25}{3}.

$$\frac{\frac{25}{3}}{\frac{5}{2}}\times \frac{3}{10}$$

Divide \frac{25}{3} by \frac{5}{2} by multiplying \frac{25}{3} by the reciprocal of \frac{5}{2}.

$$\frac{25}{3}\times \frac{2}{5}\times \frac{3}{10}$$

Multiply \frac{25}{3} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 2}{3\times 5}\times \frac{3}{10}$$

Do the multiplications in the fraction \frac{25\times 2}{3\times 5}.

$$\frac{50}{15}\times \frac{3}{10}$$

Reduce the fraction \frac{50}{15} to lowest terms by extracting and canceling out 5.

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

Cancel out \frac{10}{3} and its reciprocal \frac{3}{10}.

$$1$$

Factor

$$1$$