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

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

Evaluate

$$-\frac{239}{64}=-3.734375$$

Solution Steps

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

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

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

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

Subtract \frac{1}{4} from \frac{1}{4} to get 0.

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

Since \frac{2}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 2 to get 1.

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

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

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

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

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

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

$$-\frac{16}{4}+\frac{1}{4}+\frac{1}{8}\times \frac{1}{8}$$

Since -\frac{16}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{-16+1}{4}+\frac{1}{8}\times \frac{1}{8}$$

Add -16 and 1 to get -15.

$$-\frac{15}{4}+\frac{1}{8}\times \frac{1}{8}$$

Multiply \frac{1}{8} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{15}{4}+\frac{1\times 1}{8\times 8}$$

Do the multiplications in the fraction \frac{1\times 1}{8\times 8}.

$$-\frac{15}{4}+\frac{1}{64}$$

Least common multiple of 4 and 64 is 64. Convert -\frac{15}{4} and \frac{1}{64} to fractions with denominator 64.

$$-\frac{240}{64}+\frac{1}{64}$$

Since -\frac{240}{64} and \frac{1}{64} have the same denominator, add them by adding their numerators.

$$\frac{-240+1}{64}$$

Add -240 and 1 to get -239.

$$-\frac{239}{64}$$

Factor

$$-\frac{239}{64} = -3\frac{47}{64} = -3.734375$$