Solve -4-3/4+1/2(6)+5/8(-2/15)

$$- 4 - \frac { 3 } { 4 } + \frac { 1 } { 2 } ( 6 ) + \frac { 5 } { 8 } ( \frac { - 2 } { 15 } )$$

Evaluate

$$-\frac{11}{6}\approx -1.833333333$$

Solution Steps

Convert -4 to fraction -\frac{16}{4}.

$$-\frac{16}{4}-\frac{3}{4}+\frac{1}{2}\times 6+\frac{5}{8}\times \frac{-2}{15}$$

Since -\frac{16}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-16-3}{4}+\frac{1}{2}\times 6+\frac{5}{8}\times \frac{-2}{15}$$

Subtract 3 from -16 to get -19.

$$-\frac{19}{4}+\frac{1}{2}\times 6+\frac{5}{8}\times \frac{-2}{15}$$

Multiply \frac{1}{2} and 6 to get \frac{6}{2}.

$$-\frac{19}{4}+\frac{6}{2}+\frac{5}{8}\times \frac{-2}{15}$$

Divide 6 by 2 to get 3.

$$-\frac{19}{4}+3+\frac{5}{8}\times \frac{-2}{15}$$

Convert 3 to fraction \frac{12}{4}.

$$-\frac{19}{4}+\frac{12}{4}+\frac{5}{8}\times \frac{-2}{15}$$

Since -\frac{19}{4} and \frac{12}{4} have the same denominator, add them by adding their numerators.

$$\frac{-19+12}{4}+\frac{5}{8}\times \frac{-2}{15}$$

Add -19 and 12 to get -7.

$$-\frac{7}{4}+\frac{5}{8}\times \frac{-2}{15}$$

Fraction \frac{-2}{15} can be rewritten as -\frac{2}{15} by extracting the negative sign.

$$-\frac{7}{4}+\frac{5}{8}\left(-\frac{2}{15}\right)$$

Multiply \frac{5}{8} times -\frac{2}{15} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{7}{4}+\frac{5\left(-2\right)}{8\times 15}$$

Do the multiplications in the fraction \frac{5\left(-2\right)}{8\times 15}.

$$-\frac{7}{4}+\frac{-10}{120}$$

Reduce the fraction \frac{-10}{120} to lowest terms by extracting and canceling out 10.

$$-\frac{7}{4}-\frac{1}{12}$$

Least common multiple of 4 and 12 is 12. Convert -\frac{7}{4} and \frac{1}{12} to fractions with denominator 12.

$$-\frac{21}{12}-\frac{1}{12}$$

Since -\frac{21}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-21-1}{12}$$

Subtract 1 from -21 to get -22.

$$\frac{-22}{12}$$

Reduce the fraction \frac{-22}{12} to lowest terms by extracting and canceling out 2.

$$-\frac{11}{6}$$

Factor

$$-\frac{11}{6} = -1\frac{5}{6} = -1.8333333333333333$$