Solve 1/4(-4)+1/4(-3)+1/4(-1)+1/8(1)+frac{1}{8}(2)

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

Evaluate

$$-\frac{13}{8}=-1.625$$

Solution Steps

Multiply \frac{1}{4} and -4 to get \frac{-4}{4}.

$$\frac{-4}{4}+\frac{1}{4}\left(-3\right)+\frac{1}{4}\left(-1\right)+\frac{1}{8}\times 1+\frac{1}{8}\times 2$$

Divide -4 by 4 to get -1.

$$-1+\frac{1}{4}\left(-3\right)+\frac{1}{4}\left(-1\right)+\frac{1}{8}\times 1+\frac{1}{8}\times 2$$

Multiply \frac{1}{4} and -3 to get \frac{-3}{4}.

$$-1+\frac{-3}{4}+\frac{1}{4}\left(-1\right)+\frac{1}{8}\times 1+\frac{1}{8}\times 2$$

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$-1-\frac{3}{4}+\frac{1}{4}\left(-1\right)+\frac{1}{8}\times 1+\frac{1}{8}\times 2$$

Convert -1 to fraction -\frac{4}{4}.

$$-\frac{4}{4}-\frac{3}{4}+\frac{1}{4}\left(-1\right)+\frac{1}{8}\times 1+\frac{1}{8}\times 2$$

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

$$\frac{-4-3}{4}+\frac{1}{4}\left(-1\right)+\frac{1}{8}\times 1+\frac{1}{8}\times 2$$

Subtract 3 from -4 to get -7.

$$-\frac{7}{4}+\frac{1}{4}\left(-1\right)+\frac{1}{8}\times 1+\frac{1}{8}\times 2$$

Multiply \frac{1}{4} and -1 to get -\frac{1}{4}.

$$-\frac{7}{4}-\frac{1}{4}+\frac{1}{8}\times 1+\frac{1}{8}\times 2$$

Since -\frac{7}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-7-1}{4}+\frac{1}{8}\times 1+\frac{1}{8}\times 2$$

Subtract 1 from -7 to get -8.

$$\frac{-8}{4}+\frac{1}{8}\times 1+\frac{1}{8}\times 2$$

Divide -8 by 4 to get -2.

$$-2+\frac{1}{8}\times 1+\frac{1}{8}\times 2$$

Multiply \frac{1}{8} and 1 to get \frac{1}{8}.

$$-2+\frac{1}{8}+\frac{1}{8}\times 2$$

Convert -2 to fraction -\frac{16}{8}.

$$-\frac{16}{8}+\frac{1}{8}+\frac{1}{8}\times 2$$

Since -\frac{16}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{-16+1}{8}+\frac{1}{8}\times 2$$

Add -16 and 1 to get -15.

$$-\frac{15}{8}+\frac{1}{8}\times 2$$

Multiply \frac{1}{8} and 2 to get \frac{2}{8}.

$$-\frac{15}{8}+\frac{2}{8}$$

Since -\frac{15}{8} and \frac{2}{8} have the same denominator, add them by adding their numerators.

$$\frac{-15+2}{8}$$

Add -15 and 2 to get -13.

$$-\frac{13}{8}$$

Factor

$$-\frac{13}{8} = -1\frac{5}{8} = -1.625$$