Convert Degrees, Minutes, Seconds to Decimal Degrees 19 degrees 19'

$19 ° 19'$

Since $19$ is a whole number, it is a full degree. Since each minute is equal to $\frac{1}{60}$ degree, multiply $19$ by $\frac{1}{60}$ . Since each second is equal to $\frac{1}{3600}$ degree, multiply $0$ by $\frac{1}{3600}$ . Add them together.

$19 + 19 \cdot \frac{1}{60} + 0 \cdot \frac{1}{3600}$

Simplify.

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Remove parentheses.

$19 + 19 \cdot \frac{1}{60} + 0 \cdot \frac{1}{3600}$

Simplify each term.

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Combine $19$ and $\frac{1}{60}$ .

$19 + \frac{19}{60} + 0 \cdot \frac{1}{3600}$

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

$19 + \frac{19}{60} + 0$

To write $19$ as a fraction with a common denominator, multiply by $\frac{60}{60}$ .

$19 \cdot \frac{60}{60} + \frac{19}{60} + 0$

Combine $19$ and $\frac{60}{60}$ .

$\frac{19 \cdot 60}{60} + \frac{19}{60} + 0$

Combine the numerators over the common denominator.

$\frac{19 \cdot 60 + 19}{60} + 0$

Simplify the numerator.

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Multiply $19$ by $60$ .

$\frac{1140 + 19}{60} + 0$

Add $1140$ and $19$ .

$\frac{1159}{60} + 0$

Add $\frac{1159}{60}$ and $0$ .

$\frac{1159}{60}$

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

$19.31\overline{6} °$

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