Solve 31/3/2frac{1{4}}=11/2/x

$$\frac { 3 \frac { 1 } { 3 } } { 2 \frac { 1 } { 4 } } = \frac { 1 \frac { 1 } { 2 } } { x }$$

Solve for x

$$x = \frac{81}{80} = 1\frac{1}{80} = 1.0125$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$\frac{4}{9}x\times \frac{3\times 3+1}{3}=\frac{1\times 2+1}{2}$$

Multiply 3 and 3 to get 9.

$$\frac{4}{9}x\times \frac{9+1}{3}=\frac{1\times 2+1}{2}$$

Add 9 and 1 to get 10.

$$\frac{4}{9}x\times \frac{10}{3}=\frac{1\times 2+1}{2}$$

Multiply \frac{4}{9} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 10}{9\times 3}x=\frac{1\times 2+1}{2}$$

Do the multiplications in the fraction \frac{4\times 10}{9\times 3}.

$$\frac{40}{27}x=\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{40}{27}x=\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{40}{27}x=\frac{3}{2}$$

Multiply both sides by \frac{27}{40}, the reciprocal of \frac{40}{27}.

$$x=\frac{3}{2}\times \frac{27}{40}$$

Multiply \frac{3}{2} times \frac{27}{40} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{3\times 27}{2\times 40}$$

Do the multiplications in the fraction \frac{3\times 27}{2\times 40}.

$$x=\frac{81}{80}$$