Basic Math Examples

1 : 5 = 3 : 15

$1 : 5 = 3 : 15$

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{1}{5} = 3 : 15

$\frac{1}{5} = 3 : 15$

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{1}{5} = \frac{3}{15}

$\frac{1}{5} = \frac{3}{15}$

Step 3

Cancel the common factor of

3

$3$ and

15

$15$ .

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Step 3.1

Factor

3

$3$ out of

3

$3$ .

\frac{1}{5} = \frac{3 (1)}{15}

$\frac{1}{5} = \frac{3 (1)}{15}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

3

$3$ out of

15

$15$ .

\frac{1}{5} = \frac{3 \cdot 1}{3 \cdot 5}

$\frac{1}{5} = \frac{3 \cdot 1}{3 \cdot 5}$

Step 3.2.2

Cancel the common factor.

$\frac{1}{5} = \frac{3 \cdot 1}{3 \cdot 5}$

Step 3.2.3

Rewrite the expression.

$\frac{1}{5} = \frac{1}{5}$

Step 4

Since

$\frac{1}{5} = \frac{1}{5}$ , the equation will always be true.

Always true

Step 5

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

$1 : 5 = 3 : 15$