Solve D=9/3-8/3div16/27

$$D = \frac { 9 } { 3 } - \frac { 8 } { 3 } \div \frac { 16 } { 27 }$$

Solve for D

$$D = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Divide 9 by 3 to get 3.

$$D=3-\frac{\frac{8}{3}}{\frac{16}{27}}$$

Divide \frac{8}{3} by \frac{16}{27} by multiplying \frac{8}{3} by the reciprocal of \frac{16}{27}.

$$D=3-\frac{8}{3}\times \frac{27}{16}$$

Multiply \frac{8}{3} times \frac{27}{16} by multiplying numerator times numerator and denominator times denominator.

$$D=3-\frac{8\times 27}{3\times 16}$$

Do the multiplications in the fraction \frac{8\times 27}{3\times 16}.

$$D=3-\frac{216}{48}$$

Reduce the fraction \frac{216}{48} to lowest terms by extracting and canceling out 24.

$$D=3-\frac{9}{2}$$

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

$$D=\frac{6}{2}-\frac{9}{2}$$

Since \frac{6}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.

$$D=\frac{6-9}{2}$$

Subtract 9 from 6 to get -3.

$$D=-\frac{3}{2}$$

Assign D

$$D≔-\frac{3}{2}$$