Solve -3/5+11/5*2/3-3/4div(-1frac{1}{2})

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

Evaluate

$$\frac{7}{10}=0.7$$

Solution Steps

Multiply 1 and 5 to get 5.

$$-\frac{3}{5}+\frac{5+1}{5}\times \frac{2}{3}-\frac{\frac{3}{4}}{-\frac{1\times 2+1}{2}}$$

Add 5 and 1 to get 6.

$$-\frac{3}{5}+\frac{6}{5}\times \frac{2}{3}-\frac{\frac{3}{4}}{-\frac{1\times 2+1}{2}}$$

Multiply \frac{6}{5} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{3}{5}+\frac{6\times 2}{5\times 3}-\frac{\frac{3}{4}}{-\frac{1\times 2+1}{2}}$$

Do the multiplications in the fraction \frac{6\times 2}{5\times 3}.

$$-\frac{3}{5}+\frac{12}{15}-\frac{\frac{3}{4}}{-\frac{1\times 2+1}{2}}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$-\frac{3}{5}+\frac{4}{5}-\frac{\frac{3}{4}}{-\frac{1\times 2+1}{2}}$$

Since -\frac{3}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.

$$\frac{-3+4}{5}-\frac{\frac{3}{4}}{-\frac{1\times 2+1}{2}}$$

Add -3 and 4 to get 1.

$$\frac{1}{5}-\frac{\frac{3}{4}}{-\frac{1\times 2+1}{2}}$$

Multiply 1 and 2 to get 2.

$$\frac{1}{5}-\frac{\frac{3}{4}}{-\frac{2+1}{2}}$$

Add 2 and 1 to get 3.

$$\frac{1}{5}-\frac{\frac{3}{4}}{-\frac{3}{2}}$$

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

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

Multiply \frac{3}{4} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{5}-\frac{3\left(-2\right)}{4\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1}{5}-\frac{-2}{4}$$

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

$$\frac{1}{5}-\left(-\frac{1}{2}\right)$$

The opposite of -\frac{1}{2} is \frac{1}{2}.

$$\frac{1}{5}+\frac{1}{2}$$

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

$$\frac{2}{10}+\frac{5}{10}$$

Since \frac{2}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{2+5}{10}$$

Add 2 and 5 to get 7.

$$\frac{7}{10}$$

Factor

$$\frac{7}{2 \cdot 5} = 0.7$$