Solve 9/3div4/5*5/6div15/6

$$\frac { 9 } { 3 } \div \frac { 4 } { 5 } \times \frac { 5 } { 6 } \div \frac { 15 } { 6 }$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Divide \frac{9}{3} by \frac{4}{5} by multiplying \frac{9}{3} by the reciprocal of \frac{4}{5}.

$$\frac{\frac{9\times 5}{3\times 4}\times \frac{5}{6}}{\frac{15}{6}}$$

Cancel out 3 in both numerator and denominator.

$$\frac{\frac{3\times 5}{4}\times \frac{5}{6}}{\frac{15}{6}}$$

Multiply 3 and 5 to get 15.

$$\frac{\frac{15}{4}\times \frac{5}{6}}{\frac{15}{6}}$$

Multiply \frac{15}{4} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{15\times 5}{4\times 6}}{\frac{15}{6}}$$

Do the multiplications in the fraction \frac{15\times 5}{4\times 6}.

$$\frac{\frac{75}{24}}{\frac{15}{6}}$$

Reduce the fraction \frac{75}{24} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{25}{8}}{\frac{15}{6}}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{25}{8}}{\frac{5}{2}}$$

Divide \frac{25}{8} by \frac{5}{2} by multiplying \frac{25}{8} by the reciprocal of \frac{5}{2}.

$$\frac{25}{8}\times \frac{2}{5}$$

Multiply \frac{25}{8} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 2}{8\times 5}$$

Do the multiplications in the fraction \frac{25\times 2}{8\times 5}.

$$\frac{50}{40}$$

Reduce the fraction \frac{50}{40} to lowest terms by extracting and canceling out 10.

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

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$