Solve 2*(-1/8)+3*(1/4)+6+14=

$$2 \times (- \frac{ 1 }{ 8 } )+3 \times ( \frac{ 1 }{ 4 } )+6+14=$$

Evaluate

$$\frac{41}{2}=20.5$$

Solution Steps

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

$$\frac{2\left(-1\right)}{8}+3\times \frac{1}{4}+6+14$$

Multiply 2 and -1 to get -2.

$$\frac{-2}{8}+3\times \frac{1}{4}+6+14$$

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

$$-\frac{1}{4}+3\times \frac{1}{4}+6+14$$

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

$$-\frac{1}{4}+\frac{3}{4}+6+14$$

Since -\frac{1}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{-1+3}{4}+6+14$$

Add -1 and 3 to get 2.

$$\frac{2}{4}+6+14$$

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

$$\frac{1}{2}+6+14$$

Convert 6 to fraction \frac{12}{2}.

$$\frac{1}{2}+\frac{12}{2}+14$$

Since \frac{1}{2} and \frac{12}{2} have the same denominator, add them by adding their numerators.

$$\frac{1+12}{2}+14$$

Add 1 and 12 to get 13.

$$\frac{13}{2}+14$$

Convert 14 to fraction \frac{28}{2}.

$$\frac{13}{2}+\frac{28}{2}$$

Since \frac{13}{2} and \frac{28}{2} have the same denominator, add them by adding their numerators.

$$\frac{13+28}{2}$$

Add 13 and 28 to get 41.

$$\frac{41}{2}$$

Factor

$$\frac{41}{2} = 20\frac{1}{2} = 20.5$$