Solve 2/3*4/9div1/5

$$\frac { 2 } { 3 } \cdot \frac { 4 } { 9 } \div \frac { 1 } { 5 }$$

Evaluate

$$\frac{40}{27}\approx 1.481481481$$

Solution Steps

Multiply \frac{2}{3} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{2\times 4}{3\times 9}}{\frac{1}{5}}$$

Do the multiplications in the fraction \frac{2\times 4}{3\times 9}.

$$\frac{\frac{8}{27}}{\frac{1}{5}}$$

Divide \frac{8}{27} by \frac{1}{5} by multiplying \frac{8}{27} by the reciprocal of \frac{1}{5}.

$$\frac{8}{27}\times 5$$

Express \frac{8}{27}\times 5 as a single fraction.

$$\frac{8\times 5}{27}$$

Multiply 8 and 5 to get 40.

$$\frac{40}{27}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3 ^ {3}} = 1\frac{13}{27} = 1.4814814814814814$$