Basic Math Examples

108 = \frac{k (18)}{20}

$108 = \frac{k (18)}{20}$

Step 1

Rewrite the equation as

\frac{k (18)}{20} = 108

$\frac{k (18)}{20} = 108$ .

\frac{k (18)}{20} = 108

$\frac{k (18)}{20} = 108$

Step 2

Cancel the common factor of

18

$18$ and

20

$20$ .

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Step 2.1

Factor

2

$2$ out of

k (18)

$k (18)$ .

\frac{2 (k \cdot (9))}{20} = 108

$\frac{2 (k \cdot (9))}{20} = 108$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

2

$2$ out of

20

$20$ .

\frac{2 (k \cdot (9))}{2 (10)} = 108

$\frac{2 (k \cdot (9))}{2 (10)} = 108$

Step 2.2.2

Cancel the common factor.

$\frac{2 (k \cdot (9))}{2 \cdot 10} = 108$

Step 2.2.3

Rewrite the expression.

$\frac{k \cdot (9)}{10} = 108$

$\frac{k \cdot (9)}{10} = 108$

$\frac{k \cdot (9)}{10} = 108$

Step 3

Multiply both sides by

$10$ .

$\frac{k \cdot (9)}{10} \cdot 10 = 108 \cdot 10$

Step 4

Simplify.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify

$\frac{k \cdot (9)}{10} \cdot 10$ .

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Step 4.1.1.1

Cancel the common factor of

$10$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{k \cdot (9)}{10} \cdot 10 = 108 \cdot 10$

Step 4.1.1.1.2

Rewrite the expression.

$k \cdot (9) = 108 \cdot 10$

$k \cdot (9) = 108 \cdot 10$

Step 4.1.1.2

Move

$9$ to the left of

$k$ .

$9 k = 108 \cdot 10$

$9 k = 108 \cdot 10$

$9 k = 108 \cdot 10$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply

$108$ by

$10$ .

$9 k = 1080$

$9 k = 1080$

$9 k = 1080$

Step 5

Divide each term in

$9 k = 1080$ by

$9$ and simplify.

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Step 5.1

Divide each term in

$9 k = 1080$ by

$9$ .

$\frac{9 k}{9} = \frac{1080}{9}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of

$9$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{9 k}{9} = \frac{1080}{9}$

Step 5.2.1.2

Divide

$k$ by

$1$ .

$k = \frac{1080}{9}$

$k = \frac{1080}{9}$

$k = \frac{1080}{9}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide

$1080$ by

$9$ .

$k = 120$

$k = 120$

$k = 120$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$