CONVERTING DECIMALS FRACTIONS AND PERCENTAGES WORKSHEET

Convert the following decimals to fractions. Write the fractions in simplest form.

Solution

Problem 16 :

Two protected bird species in Florida are the whooping crane and the piping plover. How many times greater is the weight of a whooping crane than the weight of the piping plover? Write each weight as a mixed number.

Solution

Problem 17 :

Find a decimal with a value between 0.25 and 0.5. Write both the decimal and the equivalent fraction.

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Problem 18 :

Describe and correct the error in writing 0.073 as a fraction.

Solution

Problem 19 :

The thickness of a cell phone is 0.46 inch. Write the thickness as a fraction in simplest form.

Solution

Problem 20 :

A movie is 2.3 hours long. Write the length of the movie as a mixed number in simplest form

Solution

Problem 21 :

A person runs 26.22 miles in a marathon. Write the number of miles as a mixed number in simplest form.

Solution

Convert the following decimals to percentage :

1)  0.03

2)  1.5

3) 0.01

4)  0.15

5)  0.008

6)  2.317

7)  0.0875

8)  0.009

9)  0.0625

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

In the following exercises, convert each fraction to a decimal.

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

Solution

Problem 13 :

You send 40 text messages in one month. The total cost is $4.80. How much does each text message cost?

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Problem 14 :

Of the two bottles of sunblock shown, which is the better buy? Explain.

Solution

Problem 15 :

A supplier sells 2  1/4 pounds of mulch for every 1  1/3 pounds of gravel. The supplier sells 172 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell?

Solution

Problem 16 :

After earning interest, the balance of an account is $420. The new balance is 7/6 of the original balance. How much interest did it earn?

Solution

Problem 17 :

You clean a community park for 6.5 hours. You earn $42.25. How much do you earn per hour?

Solution

Problem 18 :

These are some of Brianʼs summer exam results.

Art  = 14/25

Biology = 64%

German = 49%

Latin = 25/43

Music = 11/15

Physics = 54%

Arrange the subjects in order, starting with the best result.

Solution

Convert the following fraction into percentage.

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

Problem 11 :

There are 20 apples on a tree. 3 of the apples are bad. What percentage of the apples are bad ?

Solution

Problem 12 :

James sat an English test. He scored 39 out of 50. What percentage did he get right ?

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Problem 13 :

Helen takes 25 shots at basketball training. She misses 7 shots. What percentage of the shots did Helen miss?

Solution

Problem 14 :

There are 40 passengers on a bus. 14 passengers are going to Newport. What percentage of the passengers are going to Newport ?

Solution

Problem 15 :

Randalstown Rugby Club play 8 matches and win 7 of the matches. What percentage of the matches did Randalstown win?

Solution

Problem 16 :

Freddy sits a physics test. He gets 38 out of 40 correct. What percentage did he get right?

Solution

Problem 17 :

There are 500 students at a school. 141 of the students study Spanish. What percentage of the students study Spanish ?

Solution

Problem 18 :

There are 30 students in a class. 4 of the students are left handed. What percentage of the students are right handed?

Solution

Problem 19 :

The percent of the area of the United States that is in each of four states is shown

Write the percents as fractions in simplest form.

Solution