Solve 41/8:x=3/8

$$4 \frac { 1 } { 8 } : x = \frac { 3 } { 8 }$$

Solve for x

$$x=11$$

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 8x, the least common multiple of x,8.

$$8\times \frac{4\times 8+1}{8}=3x$$

Multiply 4 and 8 to get 32.

$$8\times \frac{32+1}{8}=3x$$

Add 32 and 1 to get 33.

$$8\times \frac{33}{8}=3x$$

Cancel out 8 and 8.

$$33=3x$$

Swap sides so that all variable terms are on the left hand side.

$$3x=33$$

Divide both sides by 3.

$$x=\frac{33}{3}$$

Divide 33 by 3 to get 11.

$$x=11$$