Solve 2/3*5/6div1/4

$$\frac { 2 } { 3 } \times \frac { 5 } { 6 } \div \frac { 1 } { 4 }$$

Evaluate

$$\frac{20}{9}\approx 2.222222222$$

Solution Steps

Multiply \frac{2}{3} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{2\times 5}{3\times 6}}{\frac{1}{4}}$$

Do the multiplications in the fraction \frac{2\times 5}{3\times 6}.

$$\frac{\frac{10}{18}}{\frac{1}{4}}$$

Reduce the fraction \frac{10}{18} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{5}{9}}{\frac{1}{4}}$$

Divide \frac{5}{9} by \frac{1}{4} by multiplying \frac{5}{9} by the reciprocal of \frac{1}{4}.

$$\frac{5}{9}\times 4$$

Express \frac{5}{9}\times 4 as a single fraction.

$$\frac{5\times 4}{9}$$

Multiply 5 and 4 to get 20.

$$\frac{20}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3 ^ {2}} = 2\frac{2}{9} = 2.2222222222222223$$