Solve 2/3div10/12div1/15

$$\frac{ 2 }{ 3 } \div \frac{ 10 }{ 12 } \div \frac{ 1 }{ 15 }$$

Evaluate

$$12$$

Solution Steps

Divide \frac{\frac{2}{3}}{\frac{10}{12}} by \frac{1}{15} by multiplying \frac{\frac{2}{3}}{\frac{10}{12}} by the reciprocal of \frac{1}{15}.

$$\frac{\frac{2}{3}\times 15}{\frac{10}{12}}$$

Express \frac{2}{3}\times 15 as a single fraction.

$$\frac{\frac{2\times 15}{3}}{\frac{10}{12}}$$

Multiply 2 and 15 to get 30.

$$\frac{\frac{30}{3}}{\frac{10}{12}}$$

Divide 30 by 3 to get 10.

$$\frac{10}{\frac{10}{12}}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{10}{\frac{5}{6}}$$

Divide 10 by \frac{5}{6} by multiplying 10 by the reciprocal of \frac{5}{6}.

$$10\times \frac{6}{5}$$

Express 10\times \frac{6}{5} as a single fraction.

$$\frac{10\times 6}{5}$$

Multiply 10 and 6 to get 60.

$$\frac{60}{5}$$

Divide 60 by 5 to get 12.

$$12$$

Factor

$$2^{2}\times 3$$