Solve 5/24*8/9div2/3

$$\frac { 5 } { 24 } \times \frac { 8 } { 9 } \div \frac { 2 } { 3 }$$

Evaluate

$$\frac{5}{18}\approx 0.277777778$$

Solution Steps

Multiply \frac{5}{24} times \frac{8}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{5\times 8}{24\times 9}}{\frac{2}{3}}$$

Do the multiplications in the fraction \frac{5\times 8}{24\times 9}.

$$\frac{\frac{40}{216}}{\frac{2}{3}}$$

Reduce the fraction \frac{40}{216} to lowest terms by extracting and canceling out 8.

$$\frac{\frac{5}{27}}{\frac{2}{3}}$$

Divide \frac{5}{27} by \frac{2}{3} by multiplying \frac{5}{27} by the reciprocal of \frac{2}{3}.

$$\frac{5}{27}\times \frac{3}{2}$$

Multiply \frac{5}{27} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{27\times 2}$$

Do the multiplications in the fraction \frac{5\times 3}{27\times 2}.

$$\frac{15}{54}$$

Reduce the fraction \frac{15}{54} to lowest terms by extracting and canceling out 3.

$$\frac{5}{18}$$

Factor

$$\frac{5}{2 \cdot 3 ^ {2}} = 0.2777777777777778$$