Basic Math Examples

$5 : 4 = 25 : 20$

Step 1

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

$\frac{5}{4} = 25 : 20$

Step 2

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

$\frac{5}{4} = \frac{25}{20}$

Step 3

Cancel the common factor of

$25$ and

$20$ .

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Step 3.1

Factor

$5$ out of

$25$ .

$\frac{5}{4} = \frac{5 (5)}{20}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

$5$ out of

$20$ .

$\frac{5}{4} = \frac{5 \cdot 5}{5 \cdot 4}$

Step 3.2.2

Cancel the common factor.

$\frac{5}{4} = \frac{5 \cdot 5}{5 \cdot 4}$

Step 3.2.3

Rewrite the expression.

$\frac{5}{4} = \frac{5}{4}$

Step 4

Since

$\frac{5}{4} = \frac{5}{4}$ , the equation will always be true.

Always true

Step 5

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

$5 : 4 = 25 : 20$