Solve 8/6div9/4div1/4=

$$\frac { 8 } { 6 } \div \frac { 9 } { 4 } \div \frac { 1 } { 4 } =$$

Evaluate

$$\frac{64}{27}\approx 2.37037037$$

Solution Steps

Divide \frac{\frac{8}{6}}{\frac{9}{4}} by \frac{1}{4} by multiplying \frac{\frac{8}{6}}{\frac{9}{4}} by the reciprocal of \frac{1}{4}.

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

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

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

Express \frac{4}{3}\times 4 as a single fraction.

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

Multiply 4 and 4 to get 16.

$$\frac{\frac{16}{3}}{\frac{9}{4}}$$

Divide \frac{16}{3} by \frac{9}{4} by multiplying \frac{16}{3} by the reciprocal of \frac{9}{4}.

$$\frac{16}{3}\times \frac{4}{9}$$

Multiply \frac{16}{3} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 4}{3\times 9}$$

Do the multiplications in the fraction \frac{16\times 4}{3\times 9}.

$$\frac{64}{27}$$

Factor

$$\frac{2 ^ {6}}{3 ^ {3}} = 2\frac{10}{27} = 2.3703703703703702$$