Solve 1/3x*4/9=1/6

$$\frac { 1 } { 3 } x \times \frac { 4 } { 9 } = \frac { 1 } { 6 }$$

Solve for x

$$x = \frac{9}{8} = 1\frac{1}{8} = 1.125$$

Steps for Solving Linear Equation

Multiply \frac{1}{3} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{3\times 9}x=\frac{1}{6}$$

Do the multiplications in the fraction \frac{1\times 4}{3\times 9}.

$$\frac{4}{27}x=\frac{1}{6}$$

Multiply both sides by \frac{27}{4}, the reciprocal of \frac{4}{27}.

$$x=\frac{1}{6}\times \frac{27}{4}$$

Multiply \frac{1}{6} times \frac{27}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 27}{6\times 4}$$

Do the multiplications in the fraction \frac{1\times 27}{6\times 4}.

$$x=\frac{27}{24}$$

Reduce the fraction \frac{27}{24} to lowest terms by extracting and canceling out 3.

$$x=\frac{9}{8}$$