Convert Degrees, Minutes, Seconds to Decimal Degrees 57 degrees 30′

Math
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.
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Remove parentheses.
Simplify each term.
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Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
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 .
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Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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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 30′

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