Pre-Algebra Examples

$4 : 1 = 12 : 3$

Step 1

Convert the ratio to a fraction by making the left side of the ratio the numerator and the right side the denominator.

$\frac{4}{1} = 12 : 3$

Step 2

Divide $4$ by $1$ .

$4 = 12 : 3$

Step 3

Convert the ratio to a fraction by making the left side of the ratio the numerator and the right side the denominator.

$4 = \frac{12}{3}$

Step 4

Divide $12$ by $3$ .

$4 = 4$

Step 5

Since $4 = 4$ , the equation will always be true.

Always true

Step 6

Since the fractional versions of the ratios are equal, the ratios are equivalent.

$4 : 1 = 12 : 3$