Basic Math Examples

$\frac{n}{\frac{6}{11}} = \frac{20 (\frac{1}{6})}{49} \cdot \frac{1}{2}$

Step 1

Multiply both sides of the equation by $\frac{6}{11}$ .

$\frac{6}{11} \cdot \frac{n}{\frac{6}{11}} = \frac{6}{11} (\frac{20 (\frac{1}{6})}{49} \cdot \frac{1}{2})$

Step 2

Simplify both sides of the equation.

Tap for more steps...

Step 2.1

Simplify the left side.

Tap for more steps...

Step 2.1.1

Simplify $\frac{6}{11} \cdot \frac{n}{\frac{6}{11}}$ .

Tap for more steps...

Step 2.1.1.1

Multiply the numerator by the reciprocal of the denominator.

$\frac{6}{11} (n \frac{11}{6}) = \frac{6}{11} (\frac{20 (\frac{1}{6})}{49} \cdot \frac{1}{2})$

Step 2.1.1.2

Combine $n$ and $\frac{11}{6}$ .

$\frac{6}{11} \cdot \frac{n \cdot 11}{6} = \frac{6}{11} (\frac{20 (\frac{1}{6})}{49} \cdot \frac{1}{2})$

Step 2.1.1.3

Cancel the common factor of $6$ .

Tap for more steps...

Step 2.1.1.3.1

Cancel the common factor.

$\frac{6}{11} \cdot \frac{n \cdot 11}{6} = \frac{6}{11} (\frac{20 (\frac{1}{6})}{49} \cdot \frac{1}{2})$

Step 2.1.1.3.2

Rewrite the expression.

$\frac{1}{11} (n \cdot 11) = \frac{6}{11} (\frac{20 (\frac{1}{6})}{49} \cdot \frac{1}{2})$

Step 2.1.1.4

Cancel the common factor of $11$ .

Tap for more steps...

Step 2.1.1.4.1

Factor $11$ out of $n \cdot 11$ .

$\frac{1}{11} (11 \cdot n) = \frac{6}{11} (\frac{20 (\frac{1}{6})}{49} \cdot \frac{1}{2})$

Step 2.1.1.4.2

Cancel the common factor.

$\frac{1}{11} (11 \cdot n) = \frac{6}{11} (\frac{20 (\frac{1}{6})}{49} \cdot \frac{1}{2})$

Step 2.1.1.4.3

Rewrite the expression.

$n = \frac{6}{11} (\frac{20 (\frac{1}{6})}{49} \cdot \frac{1}{2})$

Step 2.2

Simplify the right side.

Tap for more steps...

Step 2.2.1

Simplify $\frac{6}{11} (\frac{20 (\frac{1}{6})}{49} \cdot \frac{1}{2})$ .

Tap for more steps...

Step 2.2.1.1

Combine $20$ and $\frac{1}{6}$ .

$n = \frac{6}{11} (\frac{\frac{20}{6}}{49} \cdot \frac{1}{2})$

Step 2.2.1.2

Cancel the common factor of $20$ and $6$ .

Tap for more steps...

Step 2.2.1.2.1

Factor $2$ out of $20$ .

$n = \frac{6}{11} (\frac{\frac{2 (10)}{6}}{49} \cdot \frac{1}{2})$

Step 2.2.1.2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1.2.2.1

Factor $2$ out of $6$ .

$n = \frac{6}{11} (\frac{\frac{2 \cdot 10}{2 \cdot 3}}{49} \cdot \frac{1}{2})$

Step 2.2.1.2.2.2

Cancel the common factor.

$n = \frac{6}{11} (\frac{\frac{2 \cdot 10}{2 \cdot 3}}{49} \cdot \frac{1}{2})$

Step 2.2.1.2.2.3

Rewrite the expression.

$n = \frac{6}{11} (\frac{\frac{10}{3}}{49} \cdot \frac{1}{2})$

Step 2.2.1.3

Multiply the numerator by the reciprocal of the denominator.

$n = \frac{6}{11} (\frac{10}{3} \cdot \frac{1}{49} \cdot \frac{1}{2})$

Step 2.2.1.4

Multiply $\frac{10}{3} \cdot \frac{1}{49}$ .

Tap for more steps...

Step 2.2.1.4.1

Multiply $\frac{10}{3}$ by $\frac{1}{49}$ .

$n = \frac{6}{11} (\frac{10}{3 \cdot 49} \cdot \frac{1}{2})$

Step 2.2.1.4.2

Multiply $3$ by $49$ .

$n = \frac{6}{11} (\frac{10}{147} \cdot \frac{1}{2})$

Step 2.2.1.5

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.2.1.5.1

Factor $2$ out of $10$ .

$n = \frac{6}{11} (\frac{2 (5)}{147} \cdot \frac{1}{2})$

Step 2.2.1.5.2

Cancel the common factor.

$n = \frac{6}{11} (\frac{2 \cdot 5}{147} \cdot \frac{1}{2})$

Step 2.2.1.5.3

Rewrite the expression.

$n = \frac{6}{11} \cdot \frac{5}{147}$

Step 2.2.1.6

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.2.1.6.1

Factor $3$ out of $6$ .

$n = \frac{3 (2)}{11} \cdot \frac{5}{147}$

Step 2.2.1.6.2

Factor $3$ out of $147$ .

$n = \frac{3 \cdot 2}{11} \cdot \frac{5}{3 \cdot 49}$

Step 2.2.1.6.3

Cancel the common factor.

$n = \frac{3 \cdot 2}{11} \cdot \frac{5}{3 \cdot 49}$

Step 2.2.1.6.4

Rewrite the expression.

$n = \frac{2}{11} \cdot \frac{5}{49}$

Step 2.2.1.7

Multiply $\frac{2}{11}$ by $\frac{5}{49}$ .

$n = \frac{2 \cdot 5}{11 \cdot 49}$

Step 2.2.1.8

Multiply.

Tap for more steps...

Step 2.2.1.8.1

Multiply $2$ by $5$ .

$n = \frac{10}{11 \cdot 49}$

Step 2.2.1.8.2

Multiply $11$ by $49$ .

$n = \frac{10}{539}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$n = \frac{10}{539}$

Decimal Form:

$n = 0.01855287 \dots$