Solve 3,272:(-6/11)-(-8/3)*0,3-(-0,5)

$$3,272 : ( - \frac { 6 } { 11 } ) - ( - \frac { 8 } { 3 } ) \cdot 0,3 - ( - 0,5 )$$

Evaluate

$$-\frac{1762}{375}\approx -4,698666667$$

Solution Steps

Divide 3,272 by -\frac{6}{11} by multiplying 3,272 by the reciprocal of -\frac{6}{11}.

$$3,272\left(-\frac{11}{6}\right)-\left(-\frac{8}{3}\times 0,3\right)-\left(-0,5\right)$$

Convert decimal number 3,272 to fraction \frac{3272}{1000}. Reduce the fraction \frac{3272}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{409}{125}\left(-\frac{11}{6}\right)-\left(-\frac{8}{3}\times 0,3\right)-\left(-0,5\right)$$

Multiply \frac{409}{125} times -\frac{11}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{409\left(-11\right)}{125\times 6}-\left(-\frac{8}{3}\times 0,3\right)-\left(-0,5\right)$$

Do the multiplications in the fraction \frac{409\left(-11\right)}{125\times 6}.

$$\frac{-4499}{750}-\left(-\frac{8}{3}\times 0,3\right)-\left(-0,5\right)$$

Fraction \frac{-4499}{750} can be rewritten as -\frac{4499}{750} by extracting the negative sign.

$$-\frac{4499}{750}-\left(-\frac{8}{3}\times 0,3\right)-\left(-0,5\right)$$

Convert decimal number 0,3 to fraction \frac{3}{10}.

$$-\frac{4499}{750}-\left(-\frac{8}{3}\times \frac{3}{10}\right)-\left(-0,5\right)$$

Multiply -\frac{8}{3} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{4499}{750}-\frac{-8\times 3}{3\times 10}-\left(-0,5\right)$$

Cancel out 3 in both numerator and denominator.

$$-\frac{4499}{750}-\frac{-8}{10}-\left(-0,5\right)$$

Reduce the fraction \frac{-8}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{4499}{750}-\left(-\frac{4}{5}\right)-\left(-0,5\right)$$

The opposite of -\frac{4}{5} is \frac{4}{5}.

$$-\frac{4499}{750}+\frac{4}{5}-\left(-0,5\right)$$

Least common multiple of 750 and 5 is 750. Convert -\frac{4499}{750} and \frac{4}{5} to fractions with denominator 750.

$$-\frac{4499}{750}+\frac{600}{750}-\left(-0,5\right)$$

Since -\frac{4499}{750} and \frac{600}{750} have the same denominator, add them by adding their numerators.

$$\frac{-4499+600}{750}-\left(-0,5\right)$$

Add -4499 and 600 to get -3899.

$$-\frac{3899}{750}-\left(-0,5\right)$$

The opposite of -0,5 is 0,5.

$$-\frac{3899}{750}+0,5$$

Convert decimal number 0,5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{3899}{750}+\frac{1}{2}$$

Least common multiple of 750 and 2 is 750. Convert -\frac{3899}{750} and \frac{1}{2} to fractions with denominator 750.

$$-\frac{3899}{750}+\frac{375}{750}$$

Since -\frac{3899}{750} and \frac{375}{750} have the same denominator, add them by adding their numerators.

$$\frac{-3899+375}{750}$$

Add -3899 and 375 to get -3524.

$$\frac{-3524}{750}$$

Reduce the fraction \frac{-3524}{750} to lowest terms by extracting and canceling out 2.

$$-\frac{1762}{375}$$

Factor

$$-\frac{1762}{375} = -4\frac{262}{375} = -4.698666666666667$$