Solve 3/10-23/5=

$$\frac { 3 } { 10 } - 2 \frac { 3 } { 5 } =$$

Evaluate

$$-\frac{23}{10}=-2.3$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{3}{10}-\frac{10+3}{5}$$

Add 10 and 3 to get 13.

$$\frac{3}{10}-\frac{13}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{3}{10} and \frac{13}{5} to fractions with denominator 10.

$$\frac{3}{10}-\frac{26}{10}$$

Since \frac{3}{10} and \frac{26}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-26}{10}$$

Subtract 26 from 3 to get -23.

$$-\frac{23}{10}$$

Factor

$$-\frac{23}{10} = -2\frac{3}{10} = -2.3$$