Solve 1/2+3/10=5/10+3/10=frac{8}{10}

$$\frac { 1 } { 2 } + \frac { 3 } { 10 } = \frac { 5 } { 10 } + \frac { 3 } { 10 } = \frac { 8 } { 10 }$$

Verify

Solution Steps

Least common multiple of 2 and 10 is 10. Convert \frac{1}{2} and \frac{3}{10} to fractions with denominator 10.

$$\frac{5}{10}+\frac{3}{10}=\frac{5}{10}+\frac{3}{10}\text{ and }\frac{5}{10}+\frac{3}{10}=\frac{8}{10}$$

Since \frac{5}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+3}{10}=\frac{5}{10}+\frac{3}{10}\text{ and }\frac{5}{10}+\frac{3}{10}=\frac{8}{10}$$

Add 5 and 3 to get 8.

$$\frac{8}{10}=\frac{5}{10}+\frac{3}{10}\text{ and }\frac{5}{10}+\frac{3}{10}=\frac{8}{10}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}=\frac{5}{10}+\frac{3}{10}\text{ and }\frac{5}{10}+\frac{3}{10}=\frac{8}{10}$$

Since \frac{5}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$\frac{4}{5}=\frac{5+3}{10}\text{ and }\frac{5}{10}+\frac{3}{10}=\frac{8}{10}$$

Add 5 and 3 to get 8.

$$\frac{4}{5}=\frac{8}{10}\text{ and }\frac{5}{10}+\frac{3}{10}=\frac{8}{10}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}=\frac{4}{5}\text{ and }\frac{5}{10}+\frac{3}{10}=\frac{8}{10}$$

Compare \frac{4}{5} and \frac{4}{5}.

$$\text{true}\text{ and }\frac{5}{10}+\frac{3}{10}=\frac{8}{10}$$

Since \frac{5}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$\text{true}\text{ and }\frac{5+3}{10}=\frac{8}{10}$$

Add 5 and 3 to get 8.

$$\text{true}\text{ and }\frac{8}{10}=\frac{8}{10}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\text{true}\text{ and }\frac{4}{5}=\frac{8}{10}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\text{true}\text{ and }\frac{4}{5}=\frac{4}{5}$$

Compare \frac{4}{5} and \frac{4}{5}.

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

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

$$\text{true}$$