Solve a=25%text{of}30m

$$a = 25 \% \text { of } 30 m$$

Solve for a

$$a=\frac{15m}{2}$$

Solution Steps

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$a=\frac{1}{4}\times 30m$$

Multiply \frac{1}{4} and 30 to get \frac{15}{2}.

$$a=\frac{15}{2}m$$

Solve for m

$$m=\frac{2a}{15}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$a=\frac{1}{4}\times 30m$$

Multiply \frac{1}{4} and 30 to get \frac{15}{2}.

$$a=\frac{15}{2}m$$

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

$$\frac{15}{2}m=a$$

Divide both sides of the equation by \frac{15}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{15}{2}m}{\frac{15}{2}}=\frac{a}{\frac{15}{2}}$$

Dividing by \frac{15}{2} undoes the multiplication by \frac{15}{2}.

$$m=\frac{a}{\frac{15}{2}}$$

Divide a by \frac{15}{2} by multiplying a by the reciprocal of \frac{15}{2}.

$$m=\frac{2a}{15}$$