Solve 4/6*frac{9{5}}

$$\frac{ 4 }{ 6 \times \frac{ 9 }{ 5 } }$$

Evaluate

$$\frac{10}{27}\approx 0.37037037$$

Solution Steps

Express 6\times \frac{9}{5} as a single fraction.

$$\frac{4}{\frac{6\times 9}{5}}$$

Multiply 6 and 9 to get 54.

$$\frac{4}{\frac{54}{5}}$$

Divide 4 by \frac{54}{5} by multiplying 4 by the reciprocal of \frac{54}{5}.

$$4\times \frac{5}{54}$$

Express 4\times \frac{5}{54} as a single fraction.

$$\frac{4\times 5}{54}$$

Multiply 4 and 5 to get 20.

$$\frac{20}{54}$$

Reduce the fraction \frac{20}{54} to lowest terms by extracting and canceling out 2.

$$\frac{10}{27}$$

Factor

$$\frac{2 \cdot 5}{3 ^ {3}} = 0.37037037037037035$$