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Convert each percent to a fraction:
ⓐ | |
Write as a ratio with denominator 100. | |
Simplify. |
ⓑ | |
Write as a ratio with denominator 100. | |
Simplify. |
The previous example shows that a percent can be greater than We saw that means or These are improper fractions, and their values are greater than one.
Convert each percent to a fraction:
ⓐ | |
Write as a ratio with denominator 100. | |
Clear the decimal by multiplying numerator and denominator by 10. | |
Multiply. | |
Rewrite showing common factors. | |
Simplify. |
ⓑ | |
Write as a ratio with denominator 100. | |
Write the numerator as an improper fraction. | |
Rewrite as fraction division, replacing 100 with . | |
Multiply by the reciprocal. | |
Simplify. |
In Decimals , we learned how to convert fractions to decimals. To convert a percent to a decimal, we first convert it to a fraction and then change the fraction to a decimal.
Convert each percent to a decimal:
Because we want to change to a decimal, we will leave the fractions with denominator instead of removing common factors.
ⓐ | |
Write as a ratio with denominator 100. | |
Change the fraction to a decimal by dividing the numerator by the denominator. |
ⓑ | |
Write as a ratio with denominator 100. | |
Change the fraction to a decimal by dividing the numerator by the denominator. |
Convert each percent to a decimal:
ⓐ | |
Write as a ratio with denominator 100. | |
Change the fraction to a decimal by dividing the numerator by the denominator. |
ⓑ | |
Write as a ratio with denominator 100. | |
Change the fraction to a decimal by dividing the numerator by the denominator. |
Let's summarize the results from the previous examples in [link] , and look for a pattern we could use to quickly convert a percent number to a decimal number.
Percent | Decimal |
---|---|
Do you see the pattern?
To convert a percent number to a decimal number, we move the decimal point two places to the left and remove the sign. (Sometimes the decimal point does not appear in the percent number, but just like we can think of the integer as we can think of as ) Notice that we may need to add zeros in front of the number when moving the decimal to the left.
[link] uses the percents in [link] and shows visually how to convert them to decimals by moving the decimal point two places to the left.
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