Solve 2.5=25/10=21/2

$$2.5 = 2 \frac { 5 } { 10 } = 2 \frac { 1 } { 2 }$$

Verify

Solution Steps

Multiply 2 and 10 to get 20.

$$2.5=\frac{20+5}{10}\text{ and }\frac{2\times 10+5}{10}=\frac{2\times 2+1}{2}$$

Add 20 and 5 to get 25.

$$2.5=\frac{25}{10}\text{ and }\frac{2\times 10+5}{10}=\frac{2\times 2+1}{2}$$

Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$2.5=\frac{5}{2}\text{ and }\frac{2\times 10+5}{10}=\frac{2\times 2+1}{2}$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{5}{2}=\frac{5}{2}\text{ and }\frac{2\times 10+5}{10}=\frac{2\times 2+1}{2}$$

Compare \frac{5}{2} and \frac{5}{2}.

$$\text{true}\text{ and }\frac{2\times 10+5}{10}=\frac{2\times 2+1}{2}$$

Multiply 2 and 10 to get 20.

$$\text{true}\text{ and }\frac{20+5}{10}=\frac{2\times 2+1}{2}$$

Add 20 and 5 to get 25.

$$\text{true}\text{ and }\frac{25}{10}=\frac{2\times 2+1}{2}$$

Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\text{true}\text{ and }\frac{5}{2}=\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\text{true}\text{ and }\frac{5}{2}=\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\text{true}\text{ and }\frac{5}{2}=\frac{5}{2}$$

Compare \frac{5}{2} and \frac{5}{2}.

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

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

$$\text{true}$$