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

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.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Find the common denominator.
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Write as a fraction with denominator .
Multiply by .
Multiply and .
Multiply by .
Combine.
Multiply by .
Combine fractions.
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Combine fractions with similar denominators.
Multiply.
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Multiply by .
Multiply by .
Simplify the numerator.
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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”

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