Algebra 1 : Fractions and Percentage

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #10 : How To Find Percentage From A Fraction

Write the following fraction as a percent

Possible Answers:

125%

51.2%

25.1%

12.5%

12%

Correct answer:

12.5%

Explanation:

To find the percent, first, set up the fraction as a long division problem where the 1 is placed inside the dividend and 8 is placed in the divisor:

Here, the decimal and the zero are included in the division.

Ignoring the decimal in the dividend and treating 1.0 equal to 10, we know that 8 divides into 10 one time.  Therefore, place that one on the top as shown below

Multiply that one by the divisor (8) to get eight (1 x 8 = 8) and then place that eight below the dividend as shown below

Subtract 8 from 10, which will give you 2. That 2 is placed at the bottom

To perform the division further, put in an additional zero in the dividend and another zero right beside the 2

This time, we have a 20 at the bottom. 8 can go into 20 two times so we place the two at the top of the (right next to 1) as shown

Multiply that two by 8 to get sixteen and place that sixteen at the bottom

Perform the usual subtraction to get 4

Place another zero inside the dividend and another zero right beside 4

This time 8 goes into 40 just perfectly (no remainder)

The decimal of the fraction  is 0.125.  To convert this to a percentage, move the decimal point two places to the right and then put in the '%' symbol so that 0.125 is written as 12.5%

Example Question #21 : Fractions And Percentage

Write 1/8 as a percentage.

Possible Answers:

12.5%

8%

1.25%

125%

.08%

Correct answer:

12.5%

Explanation:

To find the percentage representation of a fraction, we first need to write the fraction as a decimal.  Writing 1/8 as a decimal we get 0.125.  Now that we have the decimal representation, we simply multiply by 100 to get the percentage (or by moving the decimal two places to the right).  Doing this, we get 12.5%.

Example Question #12 : How To Find Percentage From A Fraction

A bag is filled with red, yellow and blue marbles.  of the bag is filled with red marbles,  of the bag is filled with yellow marbles, and the rest is filled with blue marbles. What is the probability of picking out a blue marble at random (in percentage)?

Possible Answers:

%

%

%

%

%

Correct answer:

%

Explanation:

Since  of the bag is filled with red marbles and another  of the bag is filled with yellow marbles, the remaining  of the bag must be filled with blue marbles.

The percentage equivalent of  is 25%.

Example Question #13 : How To Find Percentage From A Fraction

A bag is filled with red, yellow, and blue marbles.  of the bag is filled with red marbles and another  is filled with yellow marbles. The rest of the bag is filled with blue marbles. What percentage of the bag is filled with blue marbles?

Possible Answers:

Correct answer:

Explanation:

First, find the fraction of the bag that is filled with blue marbles. This can be determined by subtracting the red and yellow marbles from 1: 

This gives you , which means that  of the bag is filled with blue marbles.

The percentage equivalent of  is 10%.

Example Question #22 : Fractions And Percentage

Convert 0.555 to a fraction.

Possible Answers:

Correct answer:

Explanation:

0.555 is equal to , which can be reduced to  by dividing the numerator and demoninator by 5.  Note that if this was 0.5 repeating (i.e. 0.55555555.......) that the fraction would be .  

Example Question #1 : Ratios And Proportions

Convert into a percentage.

Possible Answers:

None of the other answers are correct.

Correct answer:

Explanation:

Set up a proportion:

Cross-multiply:

Isolate by dividing by 8:

Finally, simplify:

The fraction is therefore equivalent to .

Example Question #12 : How To Find Percentage From A Fraction

What is expressed as a percentage? Round to the nearest tenth of a percent.

Possible Answers:

Correct answer:

Explanation:

The fraction represents dividing . Using a calculator or long division, this gives us 0.2857.

To convert a decimal to a percent we need to multiply the decimal by 100. Doing this results in the decimal moving two spaces to the right.

This decimal as a percent, rounded to the nearest tenth of a percent, is 28.6%.

Example Question #23 : Fractions And Percentage

Turn this fraction into a percent:

Possible Answers:

Correct answer:

Explanation:

To change a fraction into a decimal, divide the numerator by the denominator. We do this by placing the numerator on the inside and doing long division. We can then change this decimal into a percent by moving the decimal place two places to the right, or multiplying the fraction by 100.

Example Question #24 : Fractions And Percentage

Turn this fraction into a percent:

Possible Answers:

Correct answer:

Explanation:

To change a fraction into a decimal, divide the numerator by the denominator. We do this by placing the numerator on the inside and doing long division. We can then change this decimal into a percent by moving the decimal place two places to the right, or multiplying the fraction by 100.

Example Question #25 : Fractions And Percentage

Turn this fraction into a percent:

Possible Answers:

Correct answer:

Explanation:

To change a fraction into a decimal, divide the numerator by the denominator. We do this by placing the numerator on the inside and doing long division. We can then change this decimal into a percent by moving the decimal place two places to the right, or multiplying the fraction by 100.

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