CONVERTING FRACTIONS DECIMALS PERCENT WORKSHEET

Convert the Following Percent to Decimal

Convert the given percentage as decimal.

1)  135%   Solution

2)  18.4%    Solution

3)  42.5%    Solution

4)  37.5%     Solution

5)  46.4%     Solution

6)  9  1/2%     Solution

7)  6  2/3%    Solution

8)  8  1/2%    Solution

9)  7.8%      Solution

10)  21.4%       Solution

Problem 11 :

During a sale, all items are advertised at 10% off the retail price. A coat usually cost $60. Workout the disocunt on this item.

Solution

Problem 12 :

A piece of ribbon measures 80 cm. 10% of the ribbon is cut off. What length of ribbon is cut off.

Solution

Problem 13 :

A bag is advertised having 20% off the retail price. If the bag usually costs $40, work out the disocunt.

Solution

Problem 14 :

In a group of  school children, only 72% remember to bring a pencil to school. What percentage of students did not remember to bring a pencil ?

Solution

Problem 15 :

In a leisure center, 18% of people are swimming, 25% of people are in the fitness class and the rest are in the gym. What percentage of people at the leisure center are in the gym.

Solution

Problem 16 :

Maise slices her birthday cake into several pieces. One slice is 10% of the whole cake and a different slice is 1/8 of the whole cake . Which slice is larger? 

Solution

Problem 17 :

A coat is reduced in a sale by 10%. Given that the usual price of the coat is $120. Calculate the sale price.

Solution

Problem 18 :

Thirty-six percent of the songs on your MP3 player are pop songs. Write this percent as a decimal.

Problem 19 :

CAT About 0.34 of the length of a cat is its tail. Write this decimal as a percent.

Problem 20 :

The percents of students who travel to school by car, bus, and bicycle are shown for a school of 825 students.

converting-percent-todecimal-q1

a. Write the percents as decimals.

b. Write the percents as fractions.

c. Make a bar graph that represents how the students in your class travel to school.

Answer Key

1)  1.35

2)  0.184

3)  0.425

4)   0.375

5)  0.464

6)  0.095

7)  0.067

8)  0.085

9)  0.078

10)  0.214

11)  the required discounted price is $6

12)  the length of the ribbon they cut off is 8 cm.

13)  the discounted amount of bag is $8.

14)  28% of students did not remember to bring pencil.

15) 57% of people who are in the gym.

16) By comparing these two, we know that 0.125 is greater.

17)  the sale price should be reduced by $12.

18)  0.36

19)  34%

20) 

a)

Percentage of students who use car = 0.20

Percentage of students who use school bus = 0.48

Percentage of students who use bicycle = 0.08

b)

Percentage of students who use car = 1/5

Percentage of students who use school bus = 12/25

Percentage of students who use bicycle = 2/25

c)

Percentage of students who use car = 165

Percentage of students who use school bus = 396

Percentage of students who use bicycle = 66

converting-percent-todecimal-q2

Convert the Following Decimal to Percent

Convert the following decimals to percentage :

1)  0.03    Solution

2)  1.5    Solution

3)  0.01     Solution

4)  0.15    Solution

5)  0.008    Solution

6)  2.317       Solution

7)  0.0875       Solution

8)  0.009      Solution

9)  0.0625     Solution

10)  2.254       Solution

Problem 11 :

A writer earns $3400 a month. Last month she spent $204 on food. What percent of her income was spent on food?

Solution

Problem 12 :

On the average, 7 people out of 28 ride the bus to work. What percent do not ride the bus to work?

Solution

Problem 13 :

Last season a baseball player hit 48 home runs. So far this season he hit 30 home runs. The number of home runs he has hit so far this season is what percent of the number of home runs he hit last season?

Solution

Problem 14 :

A survey showed that hamburgers are preferred to hot dogs 5 to 3. What percent of those surveyed prefer hamburgers?

Solution

Problem 15 :

In April, 175 cases of toy cars were sold. In May, 125 cases were sold April’s sales were what percent of May’s sales?

Solution

Problem 16 :

Robert sold 20 cups of lemonade and 40 cups ice tea at the FFA stand at the county fair. What percent of the drinks sold were lemonade?

Solution

Problem 17 :

Seventy-five percent of Mr. Whipple’s customer prefer Charmin toilet paper. There were 280 customers in his store today. How many prefer Charmin?

Solution

Problem 18 :

There are 850 students at Altamont Junior High School. Of these, 36% are in the eighth grade. How many students are in the eighth grade?

Solution

Problem 19 :

Fifteen percent of the cassette tapes delivered to the J-Mart were new releases. How many new releases were there out of the 360 cassette tapes?

Solution

Answer Key

1)  30%

2)  150%

3)  1%

4)  15 %

5)  0.8 %

6)  231.7 %

7)  8.75 %

8)  0.9 %

9)  6.25 %

10)  225.4 %

11)   6%

12) 75%

13)  62.5%

14)  60%

15)  140%

16) 210%

17)  approximately 157 customers.

18) 306 students

19)  Approximately 65.

Convert the Following Fraction to Percent

Questions :

1)  1/4

2)  5/8

3)  6  4/5

4)  11/12

5)  9/8

6)   5  1/4

7)  2  2/3

8)  5/12

9)  1  2/3

10)   5/9

Answers :

1)  25%

2)  62.5%

3)  680%

4)  92 %

5)  112.5 %

6)  525 %

7)  270 %

8)  42 %

9)  170 %

10)  56%

Solution

Convert the Following Fractions to Decimals

Questions :

1)  2/5

2)  4/5

3)  -3/8

4)  -5/8

5)  17/20

6)  13/20

7)  11/4

8)  17/4

9)  -310/25

10)  -284/25

11)  5/9

12)  2/9

Answers :

1)  0.4

2)  0.8

3)  -0.375

4)  -0.625

5)   0.85

6)  0.65

7)  2.75

8)  4.25

9)  12.4

10)  11.36

11)  0.55

12)   0.22

Solution

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