Convert 77/100 to a decimal.
Understand the Problem
The question is asking to convert the fraction 77/100 into its decimal form. This involves performing the division of 77 by 100.
Answer
The decimal form of \( \frac{77}{100} \) is \( 0.77 \).
Answer for screen readers
The decimal form of the fraction ( \frac{77}{100} ) is ( 0.77 ).
Steps to Solve
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Set up the division Begin by setting up the fraction for division: ( 77 \div 100 ).
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Perform the division Now carry out the division. Since 77 is less than 100, the decimal will be less than 1. We can write this as ( 0.77 ) by adding a decimal point and some zeros to help with the division.
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Write the result As you perform the division, you find that ( 77 \div 100 = 0.77 ).
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Verify the division You can also check your result by converting ( 0.77 ) back to a fraction: ( 0.77 = \frac{77}{100} ).
The decimal form of the fraction ( \frac{77}{100} ) is ( 0.77 ).
More Information
When converting fractions to decimals, it's important to remember that a fraction's decimal representation is simply a result of dividing the numerator by the denominator. This concept is also fundamental in many branches of mathematics, including algebra and number theory.
Tips
- Forgetting to add decimal points: Ensure that when you're dividing and the numerator is smaller than the denominator, you place the decimal in the result.
- Not simplifying afterward: When converting back to a fraction, always check that your decimal corresponds to the original fraction accurately.
