Solve 3/5-(3/4div1/2)

$$\frac { 3 } { 5 } - ( \frac { 3 } { 4 } \div \frac { 1 } { 2 } )$$

Evaluate

$$-\frac{9}{10}=-0.9$$

Solution Steps

Divide \frac{3}{4} by \frac{1}{2} by multiplying \frac{3}{4} by the reciprocal of \frac{1}{2}.

$$\frac{3}{5}-\frac{3}{4}\times 2$$

Express \frac{3}{4}\times 2 as a single fraction.

$$\frac{3}{5}-\frac{3\times 2}{4}$$

Multiply 3 and 2 to get 6.

$$\frac{3}{5}-\frac{6}{4}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 5 and 2 is 10. Convert \frac{3}{5} and \frac{3}{2} to fractions with denominator 10.

$$\frac{6}{10}-\frac{15}{10}$$

Since \frac{6}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-15}{10}$$

Subtract 15 from 6 to get -9.

$$-\frac{9}{10}$$

Factor

$$-\frac{9}{10} = -0.9$$