Solve b=17/24:(-52/3)

$$b = 1 \frac { 7 } { 24 } : ( - 5 \frac { 2 } { 3 } )$$

Solve for b

$$b=-\frac{31}{136}\approx -0.227941176$$

Steps for Solving Linear Equation

Multiply 1 and 24 to get 24.

$$b=\frac{\frac{24+7}{24}}{-\frac{5\times 3+2}{3}}$$

Add 24 and 7 to get 31.

$$b=\frac{\frac{31}{24}}{-\frac{5\times 3+2}{3}}$$

Multiply 5 and 3 to get 15.

$$b=\frac{\frac{31}{24}}{-\frac{15+2}{3}}$$

Add 15 and 2 to get 17.

$$b=\frac{\frac{31}{24}}{-\frac{17}{3}}$$

Divide \frac{31}{24} by -\frac{17}{3} by multiplying \frac{31}{24} by the reciprocal of -\frac{17}{3}.

$$b=\frac{31}{24}\left(-\frac{3}{17}\right)$$

Multiply \frac{31}{24} times -\frac{3}{17} by multiplying numerator times numerator and denominator times denominator.

$$b=\frac{31\left(-3\right)}{24\times 17}$$

Do the multiplications in the fraction \frac{31\left(-3\right)}{24\times 17}.

$$b=\frac{-93}{408}$$

Reduce the fraction \frac{-93}{408} to lowest terms by extracting and canceling out 3.

$$b=-\frac{31}{136}$$

Assign b

$$b≔-\frac{31}{136}$$