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Chapter 6: Problem 22

Find percent notation. $$ \frac{7}{16} $$

Short Answer

Expert verified
43.75%

Step by step solution

01

- Understand the Question

The task is to convert the fraction \( \frac{7}{16} \) into a percentage.
02

- Convert Fraction to Decimal

Divide the numerator by the denominator to convert the fraction to a decimal: \( 7 \text{ divided by } 16 = 0.4375 \).
03

- Convert Decimal to Percentage

Multiply the decimal result by 100 to convert it into a percentage: \( 0.4375 \times 100 = 43.75 \).
04

- Write the Answer in Percent Notation

Add the percent symbol to the number obtained: 43.75%.

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Key Concepts

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

Fractions to Decimals
To start with, converting a fraction to a decimal is an essential math skill. A fraction like \( \frac{7}{16} \) can be converted into a decimal easily. Here鈥檚 how you do it:

  • Identify the numerator (top number) and the denominator (bottom number) of the fraction.
  • Divide the numerator by the denominator.

For our example, we divide 7 by 16. So, \( 7 \div 16 = 0.4375 \).
It's like splitting 7 parts into 16 equal sections. When you're converting fractions to decimals, always remember: the numerator goes inside the division bar, and the denominator stays outside.
Math operations like this help convert fractions into a more familiar and often more usable decimal format.

Decimal Conversion
Decimal conversion might sound tricky, but it鈥檚 relatively straightforward. When we have a fraction like \( \frac{7}{16} \), the key here is division. By dividing, you convert the fraction directly into a decimal. Let's break it down:

  • Use a calculator or divide manually. In this case, we divided 7 by 16 to get 0.4375.
  • Ensure your math is accurate; even a small error changes the final result.

Why do we convert fractions to decimals? Decimals are often easier to understand and use, especially when we move to percentages. So, from \( \frac{7}{16} \), we first obtained 0.4375. The decimal form is a stepping stone towards finding the percentage.

Percentage Calculation
Percentage calculation is common in everyday math activities. Once you have a decimal, converting it to a percentage is simple! Start with your decimal from the previous step; in this case, it's 0.4375. Here's what you do next:

  • Multiply the decimal by 100.
  • Attach the % symbol to show that it's a percentage.

In this step, \( 0.4375 \times 100 = 43.75 \). So, 0.4375 in decimal form translates to 43.75% in percent form.
Percent notation is just a way of expressing a number as a fraction of 100. It makes it easier to understand and compare values. So remember, to convert a decimal to a percentage, just multiply by 100.

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Most popular questions from this chapter

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