Solve 15div9/10*3/5

$$15 \div \frac { 9 } { 10 } \times \frac { 3 } { 5 }$$

Evaluate

$$10$$

Solution Steps

Divide 15 by \frac{9}{10} by multiplying 15 by the reciprocal of \frac{9}{10}.

$$15\times \frac{10}{9}\times \frac{3}{5}$$

Express 15\times \frac{10}{9} as a single fraction.

$$\frac{15\times 10}{9}\times \frac{3}{5}$$

Multiply 15 and 10 to get 150.

$$\frac{150}{9}\times \frac{3}{5}$$

Reduce the fraction \frac{150}{9} to lowest terms by extracting and canceling out 3.

$$\frac{50}{3}\times \frac{3}{5}$$

Multiply \frac{50}{3} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{50\times 3}{3\times 5}$$

Cancel out 3 in both numerator and denominator.

$$\frac{50}{5}$$

Divide 50 by 5 to get 10.

$$10$$

Factor

$$2\times 5$$