Solve 5=1/10=1/15-20

$$5 = \frac { 1 } { 10 } = \frac { 1 } { 15 } - 20$$

Verify

Solution Steps

Convert 5 to fraction \frac{50}{10}.

$$\frac{50}{10}=\frac{1}{10}\text{ and }\frac{1}{10}=\frac{1}{15}-20$$

Compare \frac{50}{10} and \frac{1}{10}.

$$\text{false}\text{ and }\frac{1}{10}=\frac{1}{15}-20$$

Convert 20 to fraction \frac{300}{15}.

$$\text{false}\text{ and }\frac{1}{10}=\frac{1}{15}-\frac{300}{15}$$

Since \frac{1}{15} and \frac{300}{15} have the same denominator, subtract them by subtracting their numerators.

$$\text{false}\text{ and }\frac{1}{10}=\frac{1-300}{15}$$

Subtract 300 from 1 to get -299.

$$\text{false}\text{ and }\frac{1}{10}=-\frac{299}{15}$$

Least common multiple of 10 and 15 is 30. Convert \frac{1}{10} and -\frac{299}{15} to fractions with denominator 30.

$$\text{false}\text{ and }\frac{3}{30}=-\frac{598}{30}$$

Compare \frac{3}{30} and -\frac{598}{30}.

$$\text{false}\text{ and }\text{false}$$

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

$$\text{false}$$