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 .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Combine and .

Multiply by .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Add and .

Add and .

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

Convert Degrees, Minutes, Seconds to Decimal Degrees 57 degrees 28′