Converting a Fraction to a Percentage in a Real-World Situation Online Quiz



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Questions and Answers
Q 1 - A survey of students found that seven out of every ten students had never been outside their hometown. What percent of the students had never been outside their hometown?

Answer : A

Explanation

Step 1:

Fraction of students who never had been outside their home town = $\frac{7}{10}$

Step 2:

To convert the fraction as a percentage, multiply by 100

$\frac{7}{10} \times 100$ = 70%

Step 3:

So, the percent of students who never had been outside their home town = 70%

Q 2 - A school cafeteria offers a burger lunch choice 1 out of 5 days. What percent of the time is a burger lunch offered?

Answer : C

Explanation

Step 1:

The fraction of times burger lunch is offered = $\frac{1}{5}$

Step 2:

To convert the fraction as a percentage, multiply by 100.

$\frac{1}{5} \times 100$ = 20%

Step 3:

So, the percent of the time the burger lunch is offered = 20%

Q 3 - In Yelena's high school, 24% of the students ride a bicycle to the school. What fraction of the students ride bicycle to school?

Answer : B

Explanation

Step 1:

Percentage of students who ride a bicycle to school = 24%

Step 2:

Converting the percent to a fraction

24% = $\frac{24}{100} = \frac{6}{25}$

Step 3:

So, the fraction of students who ride a bicycle to the school = $\frac{6}{25}$

Q 4 - A club has taught yoga exercises in 44% of a state’s parks. In what fraction of the parks has the club taught the exercises?

Answer : D

Explanation

Step 1:

Percent of the parks where yoga is taught = 44%

Step 2:

Converting the percent to a fraction

44% = $\frac{44}{100} = \frac{11}{25}$

Step 3:

So, fraction of the parks where yoga is taught = $\frac{11}{25}$

Q 5 - Santos spelled 17 out of 25 words correctly on his test. Write his test score as a percent.

Answer : B

Explanation

Step 1:

The fraction of words spelled correctly = $\frac{17}{25}$

Step 2:

To convert the fraction to a percent, we multiply by 100

$\frac{17}{25} \times 100$ = 68%

Step 3:

So, score of Santos as a percent = 68%

Q 6 - Molly works in a grocery store. She spends 35% of her pay in her own store. Write a fraction that represents the amount of pay she spends in her store.

Answer : C

Explanation

Step 1:

Percent of income spent in own store = 35%

Step 2:

Converting the percent into a fraction

35% = $\frac{35}{100} = \frac{7}{20}$

Step 3:

So, the fraction of pay that Molly spends in her store = $\frac{7}{20}$

Q 7 - Cathy is working on a problem involving $\mathbf{\frac{1}{12}}$. How will she write it as a percentage?

Answer : A

Explanation

Step 1:

Writing the fraction $\frac{1}{12}$ as a percent, we multiply it by 100

$\frac{1}{12} \times 100$ = 8.33%

Step 2:

So, $\frac{1}{12}$ as a percentage = 8.33%

Q 8 - In a clearance sale a shop offers 28% off the original prices. What fraction is taken off the prices?

Answer : D

Explanation

Step 1:

Percent off on the original prices = 28%

Step 2:

Fraction of real prices given discount = 28% = $\frac{28}{100} = \frac{7}{25}$

Q 9 - Janet has a basket of oranges to sell. 1 out of every 10 oranges are not ripe yet. What percent of her oranges are not ripe?

Answer : B

Explanation

Step 1:

Fraction of oranges that are not ripe = $\frac{1}{10}$

Step 2:

To convert the fraction to a percentage, multiply by 100

$\frac{1}{10} \times 100$ = 10%

Step 3:

Percentage of the oranges that are not ripe = 10%

Q 10 - In a survey seven in eight people said they preferred a certain brand of chocolate. What is this number as a percentage?

Answer : C

Explanation

Step 1:

Fraction of people choosing a certain brand = $\frac{7}{8}$

Step 2:

To convert the fraction into a percent, multiply by 100

$\frac{7}{8} \times 100$ = 87.5%

Step 3:

So, the fraction as percentage = 87.5%

converting_fraction_percentage_in_real_world_situation.htm
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