Solve 35m/1m=?/100cm

$$\frac { 35 m } { 1 m } = \frac { ? } { 100 c m }$$

Solve for c

$$c=\frac{1}{3500m}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100cm, the least common multiple of 1m,100cm.

$$100c\times 35m=1$$

Multiply 100 and 35 to get 3500.

$$3500cm=1$$

The equation is in standard form.

$$3500mc=1$$

Divide both sides by 3500m.

$$\frac{3500mc}{3500m}=\frac{1}{3500m}$$

Dividing by 3500m undoes the multiplication by 3500m.

$$c=\frac{1}{3500m}$$

Variable c cannot be equal to 0.

$$c=\frac{1}{3500m}\text{, }c\neq 0$$

Solve for m

$$m=\frac{1}{3500c}$$

$$c\neq 0$$

Steps for Solving Linear Equation

Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100cm, the least common multiple of 1m,100cm.

$$100c\times 35m=1$$

Multiply 100 and 35 to get 3500.

$$3500cm=1$$

Divide both sides by 3500c.

$$\frac{3500cm}{3500c}=\frac{1}{3500c}$$

Dividing by 3500c undoes the multiplication by 3500c.

$$m=\frac{1}{3500c}$$

Variable m cannot be equal to 0.

$$m=\frac{1}{3500c}\text{, }m\neq 0$$