Solve 2*-1/8+2*1/16+2*-1/32

$$2 \times \frac { - 1 } { 8 } + 2 \times \frac { 1 } { 16 } + 2 \times \frac { - 1 } { 32 }$$

Evaluate

$$-\frac{3}{16}=-0.1875$$

Solution Steps

Fraction \frac{-1}{8} can be rewritten as -\frac{1}{8} by extracting the negative sign.

$$2\left(-\frac{1}{8}\right)+2\times \frac{1}{16}+2\times \frac{-1}{32}$$

Express 2\left(-\frac{1}{8}\right) as a single fraction.

$$\frac{2\left(-1\right)}{8}+2\times \frac{1}{16}+2\times \frac{-1}{32}$$

Multiply 2 and -1 to get -2.

$$\frac{-2}{8}+2\times \frac{1}{16}+2\times \frac{-1}{32}$$

Reduce the fraction \frac{-2}{8} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{4}+2\times \frac{1}{16}+2\times \frac{-1}{32}$$

Multiply 2 and \frac{1}{16} to get \frac{2}{16}.

$$-\frac{1}{4}+\frac{2}{16}+2\times \frac{-1}{32}$$

Reduce the fraction \frac{2}{16} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{4}+\frac{1}{8}+2\times \frac{-1}{32}$$

Least common multiple of 4 and 8 is 8. Convert -\frac{1}{4} and \frac{1}{8} to fractions with denominator 8.

$$-\frac{2}{8}+\frac{1}{8}+2\times \frac{-1}{32}$$

Since -\frac{2}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{-2+1}{8}+2\times \frac{-1}{32}$$

Add -2 and 1 to get -1.

$$-\frac{1}{8}+2\times \frac{-1}{32}$$

Fraction \frac{-1}{32} can be rewritten as -\frac{1}{32} by extracting the negative sign.

$$-\frac{1}{8}+2\left(-\frac{1}{32}\right)$$

Express 2\left(-\frac{1}{32}\right) as a single fraction.

$$-\frac{1}{8}+\frac{2\left(-1\right)}{32}$$

Multiply 2 and -1 to get -2.

$$-\frac{1}{8}+\frac{-2}{32}$$

Reduce the fraction \frac{-2}{32} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{8}-\frac{1}{16}$$

Least common multiple of 8 and 16 is 16. Convert -\frac{1}{8} and \frac{1}{16} to fractions with denominator 16.

$$-\frac{2}{16}-\frac{1}{16}$$

Since -\frac{2}{16} and \frac{1}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-1}{16}$$

Subtract 1 from -2 to get -3.

$$-\frac{3}{16}$$

Factor

$$-\frac{3}{16} = -0.1875$$