Solve 6/frac{3{4}*8/9}

$$\frac { 6 } { \frac { 3 } { 4 } \times \frac { 8 } { 9 } }$$

Evaluate

$$9$$

Solution Steps

Multiply \frac{3}{4} times \frac{8}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6}{\frac{3\times 8}{4\times 9}}$$

Do the multiplications in the fraction \frac{3\times 8}{4\times 9}.

$$\frac{6}{\frac{24}{36}}$$

Reduce the fraction \frac{24}{36} to lowest terms by extracting and canceling out 12.

$$\frac{6}{\frac{2}{3}}$$

Divide 6 by \frac{2}{3} by multiplying 6 by the reciprocal of \frac{2}{3}.

$$6\times \frac{3}{2}$$

Express 6\times \frac{3}{2} as a single fraction.

$$\frac{6\times 3}{2}$$

Multiply 6 and 3 to get 18.

$$\frac{18}{2}$$

Divide 18 by 2 to get 9.

$$9$$

Factor

$$3^{2}$$