Solve (2/3*5/7)div1/6

$$( \frac{ 2 }{ 3 } \times \frac{ 5 }{ 7 } ) \div \frac{ 1 }{ 6 }$$

Evaluate

$$\frac{20}{7}\approx 2.857142857$$

Solution Steps

Multiply \frac{2}{3} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{2\times 5}{3\times 7}}{\frac{1}{6}}$$

Do the multiplications in the fraction \frac{2\times 5}{3\times 7}.

$$\frac{\frac{10}{21}}{\frac{1}{6}}$$

Divide \frac{10}{21} by \frac{1}{6} by multiplying \frac{10}{21} by the reciprocal of \frac{1}{6}.

$$\frac{10}{21}\times 6$$

Express \frac{10}{21}\times 6 as a single fraction.

$$\frac{10\times 6}{21}$$

Multiply 10 and 6 to get 60.

$$\frac{60}{21}$$

Reduce the fraction \frac{60}{21} to lowest terms by extracting and canceling out 3.

$$\frac{20}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{7} = 2\frac{6}{7} = 2.857142857142857$$