Solve -14/8-6/8+3/8*6/8*frac{3}{8}=

$$\frac { - 14 } { 8 } - \frac { 6 } { 8 } + \frac { 3 } { 8 } \times \frac { 6 } { 8 } \times \frac { 3 } { 8 } =$$

Evaluate

$$-\frac{613}{256}=-2.39453125$$

Solution Steps

Reduce the fraction \frac{-14}{8} to lowest terms by extracting and canceling out 2.

$$-\frac{7}{4}-\frac{6}{8}+\frac{3}{8}\times \frac{6}{8}\times \frac{3}{8}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$-\frac{7}{4}-\frac{3}{4}+\frac{3}{8}\times \frac{6}{8}\times \frac{3}{8}$$

Since -\frac{7}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-7-3}{4}+\frac{3}{8}\times \frac{6}{8}\times \frac{3}{8}$$

Subtract 3 from -7 to get -10.

$$\frac{-10}{4}+\frac{3}{8}\times \frac{6}{8}\times \frac{3}{8}$$

Reduce the fraction \frac{-10}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{2}+\frac{3}{8}\times \frac{6}{8}\times \frac{3}{8}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

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

Multiply \frac{3}{8} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 3}{8\times 4}.

$$-\frac{5}{2}+\frac{9}{32}\times \frac{3}{8}$$

Multiply \frac{9}{32} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{5}{2}+\frac{9\times 3}{32\times 8}$$

Do the multiplications in the fraction \frac{9\times 3}{32\times 8}.

$$-\frac{5}{2}+\frac{27}{256}$$

Least common multiple of 2 and 256 is 256. Convert -\frac{5}{2} and \frac{27}{256} to fractions with denominator 256.

$$-\frac{640}{256}+\frac{27}{256}$$

Since -\frac{640}{256} and \frac{27}{256} have the same denominator, add them by adding their numerators.

$$\frac{-640+27}{256}$$

Add -640 and 27 to get -613.

$$-\frac{613}{256}$$

Factor

$$-\frac{613}{256} = -2\frac{101}{256} = -2.39453125$$