# Convert Degrees, Minutes, Seconds to Decimal Degrees 61 degrees 38’45”

Since is a whole number, it is a full degree. Since each minute is equal to degree, multiply by . Since each second is equal to degree, multiply by . Add them together.
Simplify.
Remove parentheses.
Simplify each term.
Cancel the common factor of .
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine and .
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Find the common denominator.
Write as a fraction with denominator .
Multiply by .
Multiply and .
Multiply by .
Combine.
Multiply by .
Combine.
Reorder the factors of .
Multiply by .
Reorder the factors of .
Multiply by .
Combine fractions.
Combine fractions with similar denominators.
Multiply.
Multiply by .
Multiply by .
Multiply by .
Simplify the numerator.
Add and .
Add and .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Convert the fraction to a decimal by dividing the numerator by the denominator.
Convert Degrees, Minutes, Seconds to Decimal Degrees 61 degrees 38’45”

Scroll to top