Basic Math Examples

\frac{30}{60} = \frac{2.5}{n}

$\frac{30}{60} = \frac{2.5}{n}$

Step 1

Rewrite the equation as

\frac{2.5}{n} = \frac{30}{60}

$\frac{2.5}{n} = \frac{30}{60}$ .

\frac{2.5}{n} = \frac{30}{60}

$\frac{2.5}{n} = \frac{30}{60}$

Step 2

Cancel the common factor of

30

$30$ and

60

$60$ .

Tap for more steps...

Step 2.1

Factor

30

$30$ out of

30

$30$ .

\frac{2.5}{n} = \frac{30 (1)}{60}

$\frac{2.5}{n} = \frac{30 (1)}{60}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor

30

$30$ out of

60

$60$ .

\frac{2.5}{n} = \frac{30 \cdot 1}{30 \cdot 2}

$\frac{2.5}{n} = \frac{30 \cdot 1}{30 \cdot 2}$

Step 2.2.2

Cancel the common factor.

$\frac{2.5}{n} = \frac{30 \cdot 1}{30 \cdot 2}$

Step 2.2.3

Rewrite the expression.

$\frac{2.5}{n} = \frac{1}{2}$

Step 3

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

$2.5 \cdot 2 = n \cdot 1$

Step 4

Solve the equation for

$n$ .

Tap for more steps...

Step 4.1

Rewrite the equation as

$n \cdot 1 = 2.5 \cdot 2$ .

$n \cdot 1 = 2.5 \cdot 2$

Step 4.2

Multiply

$n$ by

$1$ .

$n = 2.5 \cdot 2$

Step 4.3

Multiply

$2.5$ by

$2$ .

$n = 5$