Solve -2/31/4+5/31/2+2

$$- \frac{ 2 }{ 3 } \frac{ 1 }{ 4 } + \frac{ 5 }{ 3 } \frac{ 1 }{ 2 } +2$$

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Multiply -\frac{2}{3} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2}{3\times 4}+\frac{5}{3}\times \frac{1}{2}+2$$

Do the multiplications in the fraction \frac{-2}{3\times 4}.

$$\frac{-2}{12}+\frac{5}{3}\times \frac{1}{2}+2$$

Reduce the fraction \frac{-2}{12} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{6}+\frac{5}{3}\times \frac{1}{2}+2$$

Multiply \frac{5}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{6}+\frac{5\times 1}{3\times 2}+2$$

Do the multiplications in the fraction \frac{5\times 1}{3\times 2}.

$$-\frac{1}{6}+\frac{5}{6}+2$$

Since -\frac{1}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{-1+5}{6}+2$$

Add -1 and 5 to get 4.

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

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}+2$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{2}{3}+\frac{6}{3}$$

Since \frac{2}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$\frac{2+6}{3}$$

Add 2 and 6 to get 8.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$