Pre-Algebra Examples

$2 : 4 = 2 : 2$

Step 1

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

$\frac{2}{4} = 2 : 2$

Step 2

Cancel the common factor of $2$ and $4$ .

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Step 2.1

Factor $2$ out of $2$ .

$\frac{2 (1)}{4} = 2 : 2$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $4$ .

$\frac{2 \cdot 1}{2 \cdot 2} = 2 : 2$

Step 2.2.2

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 2} = 2 : 2$

Step 2.2.3

Rewrite the expression.

$\frac{1}{2} = 2 : 2$

Step 3

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

$\frac{1}{2} = \frac{2}{2}$

Step 4

Divide $2$ by $2$ .

$\frac{1}{2} = 1$

Step 5

Since $\frac{1}{2} \neq 1$ , there are no solutions.

No solution

Step 6

Since the fractional versions of the ratios are not equal, the ratios are not equivalent.

$2 : 4 \neq 2 : 2$