Basic Math Examples

$41.8 = \frac{n}{100} \cdot 44$

Step 1

Rewrite the equation as $\frac{n}{100} \cdot 44 = 41.8$ .

$\frac{n}{100} \cdot 44 = 41.8$

Step 2

Simplify $\frac{n}{100} \cdot 44$ .

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Step 2.1

Cancel the common factor of $4$ .

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Step 2.1.1

Factor $4$ out of $100$ .

$\frac{n}{4 (25)} \cdot 44 = 41.8$

Step 2.1.2

Factor $4$ out of $44$ .

$\frac{n}{4 \cdot 25} \cdot (4 \cdot 11) = 41.8$

Step 2.1.3

Cancel the common factor.

$\frac{n}{4 \cdot 25} \cdot (4 \cdot 11) = 41.8$

Step 2.1.4

Rewrite the expression.

$\frac{n}{25} \cdot 11 = 41.8$

Step 2.2

Combine $\frac{n}{25}$ and $11$ .

$\frac{n \cdot 11}{25} = 41.8$

Step 2.3

Move $11$ to the left of $n$ .

$\frac{11 n}{25} = 41.8$

Step 3

Multiply both sides of the equation by $\frac{25}{11}$ .

$\frac{25}{11} \cdot \frac{11 n}{25} = \frac{25}{11} \cdot 41.8$

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 $\frac{25}{11} \cdot \frac{11 n}{25}$ .

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Step 4.1.1.1

Cancel the common factor of $25$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{25}{11} \cdot \frac{11 n}{25} = \frac{25}{11} \cdot 41.8$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{11} (11 n) = \frac{25}{11} \cdot 41.8$

Step 4.1.1.2

Cancel the common factor of $11$ .

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Step 4.1.1.2.1

Factor $11$ out of $11 n$ .

$\frac{1}{11} (11 (n)) = \frac{25}{11} \cdot 41.8$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{11} (11 n) = \frac{25}{11} \cdot 41.8$

Step 4.1.1.2.3

Rewrite the expression.

$n = \frac{25}{11} \cdot 41.8$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $\frac{25}{11} \cdot 41.8$ .

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Step 4.2.1.1

Multiply $\frac{25}{11} \cdot 41.8$ .

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Step 4.2.1.1.1

Combine $\frac{25}{11}$ and $41.8$ .

$n = \frac{25 \cdot 41.8}{11}$

Step 4.2.1.1.2

Multiply $25$ by $41.8$ .

$n = \frac{1045}{11}$

Step 4.2.1.2

Divide $1045$ by $11$ .

$n = 95$