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Chapter 1: Problem 75

Write the fraction as a decimal and as a percent. $$ \frac{5}{8} $$

Short Answer

Expert verified
The decimal form of \( \frac{5}{8} \) is 0.625 and the percent form is 62.5%.

Step by step solution

01

Convert fraction to decimal

To convert the fraction \(\frac{5}{8}\) to a decimal, divide 5 by 8. This can be done using a calculator or long division. The result is 0.625
02

Convert decimal to percent

To next convert this decimal to a percent, multiply it by 100, thus 0.625 * 100 which equals 62.5%

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Percent Conversion
When you see a number expressed as a percent, remember that it represents a part out of 100. Turning a decimal into a percent is a simple task once you understand this basic idea. To convert a decimal to a percent, all you need to do is multiply the decimal by 100. This process effectively shifts the decimal point two places to the right.
For example, if we have the decimal 0.625, we multiply it by 100 to get 62.5. Essentially,
  • 0.625 becomes 62.5% when multiplied by 100.
  • This indicates that 0.625 is the same as 62.5 parts out of 100.
Percent conversion allows you to compare and understand parts of a whole in an easy-to-visualize form.
Division
Division is essential for converting a fraction into a decimal. Essentially, you are determining how many times the denominator can fit into the numerator. This process can be done using a calculator or by hand using long division. Let's break it down with \[\frac{5}{8}\].
  • Here, you divide 5 by 8. Since 5 is smaller than 8, the answer will be less than 1.
  • 0.625 comes from this division, meaning 5 divided by 8 equals 0.625.
Long division involves using place values to calculate the quotient when a divisor cannot fit into the dividend perfectly. If you鈥檙e dividing by hand, you might encounter recurring decimals. For exact decimals, like 0.625, the division completes after a few steps.
Fraction Decimal Conversion
Transforming a fraction into a decimal is a straightforward yet crucial skill in math. This involves understanding the relationship between the numerator and the denominator. To convert \[\frac{5}{8}\] into a decimal:
  • Start with division: the numerator (5) divided by the denominator (8).
  • The division will yield 0.625 exactly, as explained earlier.
Recognizing that fractions can be expressed as decimals is valuable for a variety of math tasks, making it easier to compare values and perform calculations. Knowing both forms of a number allows you to switch between formats based on what the problem requires or prefer.

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Most popular questions from this chapter

PINTEREST EARNED You deposit \(\ 120\) in a savings account that pays an annual interest rate of \(2.5 \% .\) How much simple interest would you earn in 2 years? (Review 1.1 )

Match the problem with the formula needed to solve the problem. Then use the Guess, Check, and Revise strategy or another problem-solving strategy to solve the problem. Area of a rectangle \(\quad A=l w \quad\) Distance \(\quad d=r t\) Simple interest \(\quad I=P r t \quad\) Volume of a cube Temperature \(\quad C=\frac{5}{9}(F-32)\) Surface area of a cube \(S=6 s^{2}\) A piece of cheese cut in the shape of a cube has a volume of 27 cubic inches. What is the length of each edge of the piece of cheese?

Which is correct? Explain. A. \(\frac{(9-7)^{2}+3}{5}=(9-7)^{2}+3 \div 5\) B. \(\frac{(9-7)^{2}+3}{5}=\left[(9-7)^{2}+3\right] \div 5\)

Evaluate the expression for the given value of the variable. (Review 1.1) $$\frac{5}{16}-p \text { when } p=\frac{3}{8}$$

Write the expression in exponential form. five to the fourth power
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