Basic Math Examples

$\frac{4}{5} n = 0.625$

Step 1

Multiply both sides of the equation by $\frac{5}{4}$ .

$\frac{5}{4} (\frac{4}{5} n) = \frac{5}{4} \cdot 0.625$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{5}{4} (\frac{4}{5} n)$ .

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Step 2.1.1.1

Combine $\frac{4}{5}$ and $n$ .

$\frac{5}{4} \cdot \frac{4 n}{5} = \frac{5}{4} \cdot 0.625$

Step 2.1.1.2

Cancel the common factor of $5$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{5}{4} \cdot \frac{4 n}{5} = \frac{5}{4} \cdot 0.625$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{1}{4} (4 n) = \frac{5}{4} \cdot 0.625$

Step 2.1.1.3

Cancel the common factor of $4$ .

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Step 2.1.1.3.1

Factor $4$ out of $4 n$ .

$\frac{1}{4} (4 (n)) = \frac{5}{4} \cdot 0.625$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{1}{4} (4 n) = \frac{5}{4} \cdot 0.625$

Step 2.1.1.3.3

Rewrite the expression.

$n = \frac{5}{4} \cdot 0.625$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{5}{4} \cdot 0.625$ .

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Step 2.2.1.1

Multiply $\frac{5}{4} \cdot 0.625$ .

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Step 2.2.1.1.1

Combine $\frac{5}{4}$ and $0.625$ .

$n = \frac{5 \cdot 0.625}{4}$

Step 2.2.1.1.2

Multiply $5$ by $0.625$ .

$n = \frac{3.125}{4}$

Step 2.2.1.2

Divide $3.125$ by $4$ .

$n = 0.78125$