Convert Degrees, Minutes, Seconds to Decimal Degrees 50'

$50'$

Step 1

Since $0$ is a whole number, it is a full degree. Since each minute is equal to $\frac{1}{60}$ degree, multiply $50$ by $\frac{1}{60}$ . Since each second is equal to $\frac{1}{3600}$ degree, multiply $0$ by $\frac{1}{3600}$ . Add them together.

$0 + 50 \cdot \frac{1}{60} + 0 \cdot \frac{1}{3600}$

Step 2

Simplify.

Remove parentheses.

$0 + 50 \cdot \frac{1}{60} + 0 \cdot \frac{1}{3600}$

Simplify each term.

Cancel the common factor of $10$ .

Factor $10$ out of $50$ .

$0 + 10 (5) \cdot \frac{1}{60} + 0 \cdot \frac{1}{3600}$

Factor $10$ out of $60$ .

$0 + 10 \cdot 5 \cdot \frac{1}{10 \cdot 6} + 0 \cdot \frac{1}{3600}$

Cancel the common factor.

$0 + 10 \cdot 5 \cdot \frac{1}{10 \cdot 6} + 0 \cdot \frac{1}{3600}$

Rewrite the expression.

$0 + 5 \cdot \frac{1}{6} + 0 \cdot \frac{1}{3600}$

Combine $5$ and $\frac{1}{6}$ .

$0 + \frac{5}{6} + 0 \cdot \frac{1}{3600}$

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

$0 + \frac{5}{6} + 0$

Simplify by adding zeros.

Add $0$ and $\frac{5}{6}$ .

$\frac{5}{6} + 0$

Add $\frac{5}{6}$ and $0$ .

$\frac{5}{6}$

Step 3

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

$0.8\overline{3} °$

Convert Degrees, Minutes, Seconds to Decimal Degrees 50'

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