Basic Math Examples

$\frac{5}{2} \div \frac{10}{4} = \frac{50}{n}$

Step 1

Rewrite the equation as $\frac{50}{n} = \frac{5}{2} \div \frac{10}{4}$ .

$\frac{50}{n} = \frac{5}{2} \div \frac{10}{4}$

Step 2

Factor each term.

Tap for more steps...

Step 2.1

Cancel the common factor of $10$ and $4$ .

Tap for more steps...

Step 2.1.1

Factor $2$ out of $10$ .

$\frac{50}{n} = \frac{5}{2} \div \frac{2 (5)}{4}$

Step 2.1.2

Cancel the common factors.

Tap for more steps...

Step 2.1.2.1

Factor $2$ out of $4$ .

$\frac{50}{n} = \frac{5}{2} \div \frac{2 \cdot 5}{2 \cdot 2}$

Step 2.1.2.2

Cancel the common factor.

$\frac{50}{n} = \frac{5}{2} \div \frac{2 \cdot 5}{2 \cdot 2}$

Step 2.1.2.3

Rewrite the expression.

$\frac{50}{n} = \frac{5}{2} \div \frac{5}{2}$

Step 2.2

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 2.2.1

Reduce the expression $\frac{5}{2} \div \frac{5}{2}$ by cancelling the common factors.

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{50}{n} = \frac{5}{2} \div \frac{5}{2}$

Step 2.2.1.2

Rewrite the expression.

$\frac{50}{n} = \frac{1}{1}$

Step 2.2.2

Rewrite the expression.

$\frac{50}{n} = 1$

Step 3

Find the LCD of the terms in the equation.

Tap for more steps...

Step 3.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$n, 1$

Step 3.2

The LCM of one and any expression is the expression.

$n$

Step 4

Multiply each term in $\frac{50}{n} = 1$ by $n$ to eliminate the fractions.

Tap for more steps...

Step 4.1

Multiply each term in $\frac{50}{n} = 1$ by $n$ .

$\frac{50}{n} n = 1 n$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $n$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{50}{n} n = 1 n$

Step 4.2.1.2

Rewrite the expression.

$50 = 1 n$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Multiply $n$ by $1$ .

$50 = n$

Step 5

Rewrite the equation as $n = 50$ .

$n = 50$