Basic Math Examples

1.8 = \frac{n}{100} \cdot 30

$1.8 = \frac{n}{100} \cdot 30$

Step 1

Rewrite the equation as

\frac{n}{100} \cdot 30 = 1.8

$\frac{n}{100} \cdot 30 = 1.8$ .

\frac{n}{100} \cdot 30 = 1.8

$\frac{n}{100} \cdot 30 = 1.8$

Step 2

Simplify

\frac{n}{100} \cdot 30

$\frac{n}{100} \cdot 30$ .

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Step 2.1

Cancel the common factor of

10

$10$ .

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Step 2.1.1

Factor

10

$10$ out of

100

$100$ .

\frac{n}{10 (10)} \cdot 30 = 1.8

$\frac{n}{10 (10)} \cdot 30 = 1.8$

Step 2.1.2

Factor

10

$10$ out of

30

$30$ .

\frac{n}{10 \cdot 10} \cdot (10 \cdot 3) = 1.8

$\frac{n}{10 \cdot 10} \cdot (10 \cdot 3) = 1.8$

Step 2.1.3

Cancel the common factor.

$\frac{n}{10 \cdot 10} \cdot (10 \cdot 3) = 1.8$

Step 2.1.4

Rewrite the expression.

$\frac{n}{10} \cdot 3 = 1.8$

$\frac{n}{10} \cdot 3 = 1.8$

Step 2.2

Combine

$\frac{n}{10}$ and

$3$ .

$\frac{n \cdot 3}{10} = 1.8$

Step 2.3

Move

$3$ to the left of

$n$ .

$\frac{3 n}{10} = 1.8$

$\frac{3 n}{10} = 1.8$

Step 3

Multiply both sides of the equation by

$\frac{10}{3}$ .

$\frac{10}{3} \cdot \frac{3 n}{10} = \frac{10}{3} \cdot 1.8$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify

$\frac{10}{3} \cdot \frac{3 n}{10}$ .

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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.

$\frac{10}{3} \cdot \frac{3 n}{10} = \frac{10}{3} \cdot 1.8$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{3} (3 n) = \frac{10}{3} \cdot 1.8$

$\frac{1}{3} (3 n) = \frac{10}{3} \cdot 1.8$

Step 4.1.1.2

Cancel the common factor of

$3$ .

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Step 4.1.1.2.1

Factor

$3$ out of

$3 n$ .

$\frac{1}{3} (3 (n)) = \frac{10}{3} \cdot 1.8$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{3} (3 n) = \frac{10}{3} \cdot 1.8$

Step 4.1.1.2.3

Rewrite the expression.

$n = \frac{10}{3} \cdot 1.8$

$n = \frac{10}{3} \cdot 1.8$

$n = \frac{10}{3} \cdot 1.8$

$n = \frac{10}{3} \cdot 1.8$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify

$\frac{10}{3} \cdot 1.8$ .

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Step 4.2.1.1

Multiply

$\frac{10}{3} \cdot 1.8$ .

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Step 4.2.1.1.1

Combine

$\frac{10}{3}$ and

$1.8$ .

$n = \frac{10 \cdot 1.8}{3}$

Step 4.2.1.1.2

Multiply

$10$ by

$1.8$ .

$n = \frac{18}{3}$

$n = \frac{18}{3}$

Step 4.2.1.2

Divide

$18$ by

$3$ .

$n = 6$

$n = 6$

$n = 6$

$n = 6$

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