Solve 4x+4*8/9*1/2=6

$$4 x + 4 \times \frac { 8 } { 9 } \times \frac { 1 } { 2 } = 6$$

Solve for x

$$x = \frac{19}{18} = 1\frac{1}{18} \approx 1.055555556$$

Steps for Solving Linear Equation

Express 4\times \frac{8}{9} as a single fraction.

$$4x+\frac{4\times 8}{9}\times \frac{1}{2}=6$$

Multiply 4 and 8 to get 32.

$$4x+\frac{32}{9}\times \frac{1}{2}=6$$

Multiply \frac{32}{9} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$4x+\frac{32\times 1}{9\times 2}=6$$

Do the multiplications in the fraction \frac{32\times 1}{9\times 2}.

$$4x+\frac{32}{18}=6$$

Reduce the fraction \frac{32}{18} to lowest terms by extracting and canceling out 2.

$$4x+\frac{16}{9}=6$$

Subtract \frac{16}{9} from both sides.

$$4x=6-\frac{16}{9}$$

Convert 6 to fraction \frac{54}{9}.

$$4x=\frac{54}{9}-\frac{16}{9}$$

Since \frac{54}{9} and \frac{16}{9} have the same denominator, subtract them by subtracting their numerators.

$$4x=\frac{54-16}{9}$$

Subtract 16 from 54 to get 38.

$$4x=\frac{38}{9}$$

Divide both sides by 4.

$$x=\frac{\frac{38}{9}}{4}$$

Express \frac{\frac{38}{9}}{4} as a single fraction.

$$x=\frac{38}{9\times 4}$$

Multiply 9 and 4 to get 36.

$$x=\frac{38}{36}$$

Reduce the fraction \frac{38}{36} to lowest terms by extracting and canceling out 2.

$$x=\frac{19}{18}$$