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.

Remove parentheses.

Simplify each term.

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

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 fractions.

Combine fractions with similar denominators.

Multiply.

Multiply by .

Multiply by .

Simplify the numerator.

Add and .

Add and .

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

Convert Degrees, Minutes, Seconds to Decimal Degrees 40 degrees 10’25”