Solve 20div8/9*3/4=

$$20 \div \frac { 8 } { 9 } \times \frac { 3 } { 4 } =$$

Evaluate

$$\frac{135}{8}=16.875$$

Solution Steps

Divide 20 by \frac{8}{9} by multiplying 20 by the reciprocal of \frac{8}{9}.

$$20\times \frac{9}{8}\times \frac{3}{4}$$

Express 20\times \frac{9}{8} as a single fraction.

$$\frac{20\times 9}{8}\times \frac{3}{4}$$

Multiply 20 and 9 to get 180.

$$\frac{180}{8}\times \frac{3}{4}$$

Reduce the fraction \frac{180}{8} to lowest terms by extracting and canceling out 4.

$$\frac{45}{2}\times \frac{3}{4}$$

Multiply \frac{45}{2} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45\times 3}{2\times 4}$$

Do the multiplications in the fraction \frac{45\times 3}{2\times 4}.

$$\frac{135}{8}$$

Factor

$$\frac{3 ^ {3} \cdot 5}{2 ^ {3}} = 16\frac{7}{8} = 16.875$$