Basic Math Examples

$\frac{2}{10} \div h = \frac{11}{20}$

Step 1

Simplify both sides.

Tap for more steps...

Step 1.1

Rewrite the division as a fraction.

$\frac{\frac{2}{10}}{h} = \frac{11}{20}$

Step 1.2

Cancel the common factor of $2$ and $10$ .

Tap for more steps...

Step 1.2.1

Factor $2$ out of $2$ .

$\frac{\frac{2 (1)}{10}}{h} = \frac{11}{20}$

Step 1.2.2

Cancel the common factors.

Tap for more steps...

Step 1.2.2.1

Factor $2$ out of $10$ .

$\frac{\frac{2 \cdot 1}{2 \cdot 5}}{h} = \frac{11}{20}$

Step 1.2.2.2

Cancel the common factor.

$\frac{\frac{2 \cdot 1}{2 \cdot 5}}{h} = \frac{11}{20}$

Step 1.2.2.3

Rewrite the expression.

$\frac{\frac{1}{5}}{h} = \frac{11}{20}$

Step 1.3

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{5} \cdot \frac{1}{h} = \frac{11}{20}$

Step 1.4

Multiply $\frac{1}{5}$ by $\frac{1}{h}$ .

$\frac{1}{5 h} = \frac{11}{20}$

Step 2

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.

$1 \cdot 20 = 5 h \cdot 11$

Step 3

Solve the equation for $h$ .

Tap for more steps...

Step 3.1

Rewrite the equation as $5 h \cdot 11 = 1 \cdot 20$ .

$5 h \cdot 11 = 1 \cdot 20$

Step 3.2

Simplify.

Tap for more steps...

Step 3.2.1

Multiply $11$ by $5$ .

$55 h = 1 \cdot 20$

Step 3.2.2

Multiply $20$ by $1$ .

$55 h = 20$

Step 3.3

Divide each term in $55 h = 20$ by $55$ and simplify.

Tap for more steps...

Step 3.3.1

Divide each term in $55 h = 20$ by $55$ .

$\frac{55 h}{55} = \frac{20}{55}$

Step 3.3.2

Simplify the left side.

Tap for more steps...

Step 3.3.2.1

Cancel the common factor of $55$ .

Tap for more steps...

Step 3.3.2.1.1

Cancel the common factor.

$\frac{55 h}{55} = \frac{20}{55}$

Step 3.3.2.1.2

Divide $h$ by $1$ .

$h = \frac{20}{55}$

Step 3.3.3

Simplify the right side.

Tap for more steps...

Step 3.3.3.1

Cancel the common factor of $20$ and $55$ .

Tap for more steps...

Step 3.3.3.1.1

Factor $5$ out of $20$ .

$h = \frac{5 (4)}{55}$

Step 3.3.3.1.2

Cancel the common factors.

Tap for more steps...

Step 3.3.3.1.2.1

Factor $5$ out of $55$ .

$h = \frac{5 \cdot 4}{5 \cdot 11}$

Step 3.3.3.1.2.2

Cancel the common factor.

$h = \frac{5 \cdot 4}{5 \cdot 11}$

Step 3.3.3.1.2.3

Rewrite the expression.

$h = \frac{4}{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$h = \frac{4}{11}$

Decimal Form:

$h = 0.\overline{36}$