To convert from fractions to percentages, we apply the following steps:
Step 1: Make an equivalent fraction with the denominator
Step 2: Read the numerator as the percentage.
To illustrate, let's write down the percentage that corresponds to the following fraction model:
The shaded part in the picture shows of a whole.
To convert this fraction to a percentage, we first need to make an equivalent fraction with the denominator We can do this by multiplying the numerator and denominator by
Then, we read the numerator as the percentage:
What is as a percentage?
First, we write as an equivalent fraction with as the denominator:
We can now write this fraction as a percentage:
$\dfrac{11}{20}=$
|
a
|
$77 \%$ |
|
b
|
$66 \%$ |
|
c
|
$55 \%$ |
|
d
|
$75 \%$ |
|
e
|
$60 \%$ |
$\dfrac{18}{10}=$
|
a
|
$180\%$ |
|
b
|
$1800\%$ |
|
c
|
$1.8\%$ |
|
d
|
$18\%$ |
|
e
|
$0.18\%$ |
To pass a theoretical driving test, John must correctly answer of the total number of questions. What percentage of questions does John need to answer correctly to pass the test?
First, we write as an equivalent fraction with as the denominator:
We can now write this fraction as a percentage:
When surveying employee work habits, Monica noticed that $\dfrac{7}{10}$ of those surveyed said that they would stay at home if they caught the flu. What percentage is equivalent to this rate?
|
a
|
$82 \%$ |
|
b
|
$80 \%$ |
|
c
|
$75 \%$ |
|
d
|
$68 \%$ |
|
e
|
$70 \%$ |
In a sixth-grade class, $\dfrac{3}{5}$ of the children have black hair. What percentage of children have black hair?
|
a
|
$60 \%$ |
|
b
|
$65 \%$ |
|
c
|
$50 \%$ |
|
d
|
$30 \%$ |
|
e
|
$45 \%$ |
To convert a percentage to a fraction, we write the number in front of the percent sign as a fraction with the denominator and then simplify.
To demonstrate, let's convert to a fraction. First, we write the fraction with denominator
We now simplify the fraction by dividing the numerator and denominator by
Therefore,
What is as a fraction?
First, we write the number in front of the percent sign () as a fraction with denominator
We now need to simplify this fraction. Dividing the numerator and denominator by we get
Finally, we divide the numerator and denominator by
Therefore,
$30 \%=$
|
a
|
$\dfrac{1}{10}$ |
|
b
|
$\dfrac{1}{2}$ |
|
c
|
$\dfrac{3}{5}$ |
|
d
|
$\dfrac{3}{20}$ |
|
e
|
$\dfrac{3}{10}$ |
$150\%=$
|
a
|
$\dfrac{5}{2}$ |
|
b
|
$\dfrac{5}{4}$ |
|
c
|
$\dfrac{5}{3}$ |
|
d
|
$\dfrac{4}{3}$ |
|
e
|
$\dfrac{3}{2}$ |
$65 \%=$
|
a
|
$\dfrac{3}{4}$ |
|
b
|
$\dfrac{3}{10}$ |
|
c
|
$\dfrac{3}{5}$ |
|
d
|
$\dfrac{11}{15}$ |
|
e
|
$\dfrac{13}{20}$ |
Donald took less time than he expected to complete his geometry homework. What is expressed as a fraction?
First, we write the number in front of the percent sign as a fraction with denominator
We now simplify the fraction by dividing the numerator and denominator by
Therefore,
Ana received a bonus of $25 \%$ of her usual salary. What is $25 \%$ expressed as a fraction?
|
a
|
$\dfrac{1}{5}$ |
|
b
|
$\dfrac{1}{2}$ |
|
c
|
$\dfrac{1}{4}$ |
|
d
|
$\dfrac{7}{20}$ |
|
e
|
$\dfrac{3}{10}$ |
When conducting a survey, Rafael found that $55\%$ of people prefer raspberries to strawberries. What fraction is equivalent to this percentage?
|
a
|
$\dfrac{13}{20}$ |
|
b
|
$\dfrac{11}{25}$ |
|
c
|
$\dfrac{3}{10}$ |
|
d
|
$\dfrac{11}{20}$ |
|
e
|
$\dfrac{3}{5}$ |