Solve -1+(13/4-0.5)*1/3*[2div(-3)]

$$- 1 + ( 1 \frac { 3 } { 4 } - 0.5 ) \times \frac { 1 } { 3 } \times [ 2 \div ( - 3 ) ]$$

Evaluate

$$-\frac{23}{18}\approx -1.277777778$$

Solution Steps

Multiply 1 and 4 to get 4.

$$-1+\left(\frac{4+3}{4}-0.5\right)\times \frac{1}{3}\times \frac{2}{-3}$$

Add 4 and 3 to get 7.

$$-1+\left(\frac{7}{4}-0.5\right)\times \frac{1}{3}\times \frac{2}{-3}$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$-1+\left(\frac{7}{4}-\frac{1}{2}\right)\times \frac{1}{3}\times \frac{2}{-3}$$

Least common multiple of 4 and 2 is 4. Convert \frac{7}{4} and \frac{1}{2} to fractions with denominator 4.

$$-1+\left(\frac{7}{4}-\frac{2}{4}\right)\times \frac{1}{3}\times \frac{2}{-3}$$

Since \frac{7}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$-1+\frac{7-2}{4}\times \frac{1}{3}\times \frac{2}{-3}$$

Subtract 2 from 7 to get 5.

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

Multiply \frac{5}{4} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{5\times 1}{4\times 3}.

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

Fraction \frac{2}{-3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$-1+\frac{5}{12}\left(-\frac{2}{3}\right)$$

Multiply \frac{5}{12} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$-1+\frac{5\left(-2\right)}{12\times 3}$$

Do the multiplications in the fraction \frac{5\left(-2\right)}{12\times 3}.

$$-1+\frac{-10}{36}$$

Reduce the fraction \frac{-10}{36} to lowest terms by extracting and canceling out 2.

$$-1-\frac{5}{18}$$

Convert -1 to fraction -\frac{18}{18}.

$$-\frac{18}{18}-\frac{5}{18}$$

Since -\frac{18}{18} and \frac{5}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-18-5}{18}$$

Subtract 5 from -18 to get -23.

$$-\frac{23}{18}$$

Factor

$$-\frac{23}{18} = -1\frac{5}{18} = -1.2777777777777777$$