Solve 3/2:1/5-1/5=

$$\frac { 3 } { 2 } : \frac { 1 } { 5 } - \frac { 1 } { 5 } =$$

Evaluate

$$\frac{73}{10}=7.3$$

Solution Steps

Divide \frac{3}{2} by \frac{1}{5} by multiplying \frac{3}{2} by the reciprocal of \frac{1}{5}.

$$\frac{3}{2}\times 5-\frac{1}{5}$$

Express \frac{3}{2}\times 5 as a single fraction.

$$\frac{3\times 5}{2}-\frac{1}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{15}{2}-\frac{1}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{15}{2} and \frac{1}{5} to fractions with denominator 10.

$$\frac{75}{10}-\frac{2}{10}$$

Since \frac{75}{10} and \frac{2}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{75-2}{10}$$

Subtract 2 from 75 to get 73.

$$\frac{73}{10}$$

Factor

$$\frac{73}{2 \cdot 5} = 7\frac{3}{10} = 7.3$$