Solve xdiv9/8*2/3=

$$x \div \frac { 9 } { 8 } \times \frac { 2 } { 3 } =$$

Evaluate

$$\frac{16x}{27}$$

Solution Steps

Divide x by \frac{9}{8} by multiplying x by the reciprocal of \frac{9}{8}.

$$\frac{x\times 8}{9}\times \frac{2}{3}$$

Multiply \frac{x\times 8}{9} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x\times 8\times 2}{9\times 3}$$

Multiply 8 and 2 to get 16.

$$\frac{x\times 16}{9\times 3}$$

Multiply 9 and 3 to get 27.

$$\frac{x\times 16}{27}$$

Differentiate w.r.t. x

$$\frac{16}{27} = 0.5925925925925926$$