Algebra Examples

$20'$

Step 1

Since $0$ is a whole number, it is a full degree. Since each minute is equal to $\frac{1}{60}$ degree, multiply $20$ by $\frac{1}{60}$ . Since each second is equal to $\frac{1}{3600}$ degree, multiply $0$ by $\frac{1}{3600}$ . Add them together.

$0 + 20 \cdot \frac{1}{60} + 0 \cdot \frac{1}{3600}$

Step 2

Simplify.

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Remove parentheses.

$0 + 20 \cdot \frac{1}{60} + 0 \cdot \frac{1}{3600}$

Simplify each term.

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Cancel the common factor of $20$ .

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Factor $20$ out of $60$ .

$0 + 20 \cdot \frac{1}{20 (3)} + 0 \cdot \frac{1}{3600}$

Cancel the common factor.

$0 + 20 \cdot \frac{1}{20 \cdot 3} + 0 \cdot \frac{1}{3600}$

Rewrite the expression.

$0 + \frac{1}{3} + 0 \cdot \frac{1}{3600}$

Multiply $0$ by $\frac{1}{3600}$ .

$0 + \frac{1}{3} + 0$

Simplify by adding zeros.

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Add $0$ and $\frac{1}{3}$ .

$\frac{1}{3} + 0$

Add $\frac{1}{3}$ and $0$ .

$\frac{1}{3}$

Step 3

Convert the fraction to a decimal by dividing the numerator by the denominator.

$0.\overline{3} °$