Solve 9:4/5=9/1*5/4=45/4=

$$9 : \frac { 4 } { 5 } = \frac { 9 } { 1 } \cdot \frac { 5 } { 4 } = \frac { 45 } { 4 } =$$

Verify

Solution Steps

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

$$9\times \frac{5}{4}=\frac{9}{1}\times \frac{5}{4}\text{ and }\frac{9}{1}\times \frac{5}{4}=\frac{45}{4}$$

Express 9\times \frac{5}{4} as a single fraction.

$$\frac{9\times 5}{4}=\frac{9}{1}\times \frac{5}{4}\text{ and }\frac{9}{1}\times \frac{5}{4}=\frac{45}{4}$$

Multiply 9 and 5 to get 45.

$$\frac{45}{4}=\frac{9}{1}\times \frac{5}{4}\text{ and }\frac{9}{1}\times \frac{5}{4}=\frac{45}{4}$$

Anything divided by one gives itself.

$$\frac{45}{4}=9\times \frac{5}{4}\text{ and }\frac{9}{1}\times \frac{5}{4}=\frac{45}{4}$$

Express 9\times \frac{5}{4} as a single fraction.

$$\frac{45}{4}=\frac{9\times 5}{4}\text{ and }\frac{9}{1}\times \frac{5}{4}=\frac{45}{4}$$

Multiply 9 and 5 to get 45.

$$\frac{45}{4}=\frac{45}{4}\text{ and }\frac{9}{1}\times \frac{5}{4}=\frac{45}{4}$$

Compare \frac{45}{4} and \frac{45}{4}.

$$\text{true}\text{ and }\frac{9}{1}\times \frac{5}{4}=\frac{45}{4}$$

Anything divided by one gives itself.

$$\text{true}\text{ and }9\times \frac{5}{4}=\frac{45}{4}$$

Express 9\times \frac{5}{4} as a single fraction.

$$\text{true}\text{ and }\frac{9\times 5}{4}=\frac{45}{4}$$

Multiply 9 and 5 to get 45.

$$\text{true}\text{ and }\frac{45}{4}=\frac{45}{4}$$

Compare \frac{45}{4} and \frac{45}{4}.

$$\text{true}\text{ and }\text{true}$$

The conjunction of \text{true} and \text{true} is \text{true}.

$$\text{true}$$