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Chapter 6: Problem 19

Find percent notation. $$ \frac{3}{16} $$

Short Answer

Expert verified
18.75%

Step by step solution

01

Convert Fraction to Decimal

To convert the fraction \(\frac{3}{16}\) to a decimal, divide the numerator (3) by the denominator (16). So, \( \frac{3}{16} = 0.1875 \).
02

Convert Decimal to Percent

To convert a decimal to a percent, multiply the decimal by 100. So, \( 0.1875 \times 100 = 18.75 \).
03

Write in Percent Notation

Represent the result from Step 2 in percent notation. Thus, \( 18.75 \% \).

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Key Concepts

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

Fraction to Decimal Conversion
Let's start with converting a fraction to a decimal. This is a crucial step in many math problems. A fraction is made of two parts: the numerator (top part) and the denominator (bottom part). To convert a fraction into a decimal, you divide the numerator by the denominator.
For instance, if you have the fraction \(\frac{3}{16}\), you divide 3 (the numerator) by 16 (the denominator).
So dividing 3 by 16 gives us 0.1875. This is our decimal equivalent of the fraction \(\frac{3}{16}\).
Decimal to Percent Conversion
Once you have a decimal, converting it to a percent is very straightforward. A percent is a special way of representing a number as a fraction of 100.
To convert a decimal to a percent, you multiply the decimal by 100. This is because 'percent' literally means 'per hundred'. For instance, let's continue with our decimal from the previous step: 0.1875.
By multiplying 0.1875 by 100, we shift the decimal point two places to the right. So, 0.1875 becomes 18.75.
Therefore, 0.1875 as a percent is 18.75%.
Percent Notation
Finally, let鈥檚 talk about percent notation. Percent notation is simply a way of expressing a number as a fraction of 100. This is represented with the percent sign (\(\%\)). Using our example, after converting \(\frac{3}{16}\) to 0.1875 as a decimal and then to 18.75 as a percent, we write it in percent notation as 18.75%.
Here鈥檚 a quick reminder of the steps:
  • Convert the fraction \(\frac{3}{16}\) to a decimal: 0.1875.
  • Convert the decimal 0.1875 to a percent by multiplying by 100: 18.75.
After following these steps, you can represent any fraction as a percent. Remember to always include the percent sign (%) to denote the final percent form.

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