Solve 0,5/-3frac{5{6}-1,75}=

$$\frac { 0,5 } { - 3 \frac { 5 } { 6 } - 1,75 } =$$

Evaluate

$$-\frac{6}{67}\approx -0,089552239$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{0,5}{-\frac{18+5}{6}-1,75}$$

Add 18 and 5 to get 23.

$$\frac{0,5}{-\frac{23}{6}-1,75}$$

Convert decimal number 1,75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{0,5}{-\frac{23}{6}-\frac{7}{4}}$$

Least common multiple of 6 and 4 is 12. Convert -\frac{23}{6} and \frac{7}{4} to fractions with denominator 12.

$$\frac{0,5}{-\frac{46}{12}-\frac{21}{12}}$$

Since -\frac{46}{12} and \frac{21}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{0,5}{\frac{-46-21}{12}}$$

Subtract 21 from -46 to get -67.

$$\frac{0,5}{-\frac{67}{12}}$$

Divide 0,5 by -\frac{67}{12} by multiplying 0,5 by the reciprocal of -\frac{67}{12}.

$$0,5\left(-\frac{12}{67}\right)$$

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.

$$\frac{1}{2}\left(-\frac{12}{67}\right)$$

Multiply \frac{1}{2} times -\frac{12}{67} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-12\right)}{2\times 67}$$

Do the multiplications in the fraction \frac{1\left(-12\right)}{2\times 67}.

$$\frac{-12}{134}$$

Reduce the fraction \frac{-12}{134} to lowest terms by extracting and canceling out 2.

$$-\frac{6}{67}$$

Factor

$$-\frac{6}{67} = -0.08955223880597014$$