CONVERTING FRACTIONS AND DEMICALS WORKSHEET

How to Convert Decimals to Fractions

Questions :

1)  0.3     Solution

2)  0.9     Solution

3)  1.2       Solution

4)  2.5     Solution

5)  0.02     Solution

6)  0.07    Solution

7)  0.04    Solution

8)  0.125    Solution

9)  0.27     Solution

10)  0.84    Solution

11)  0.025    Solution

12)  0.275    Solution

13)  0.825     Solution

14)  0.00005      Solution

15)  4.08     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.

Solution

Problem 18 :

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

Solution

Problem 18 :

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

Solution

Problem 19 :

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

Solution

Problem 20 :

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

Solution

How to Write a Fraction as a Decimal

Questions :

1)  2/10     Solution

2)  13/100    Solution

3)  241/1000    Solution

4)  83/100     Solution

5)  1/10 + 3/100    Solution

6)  37/1000   Solution

7)  3/100 + 7/1000    Solution

8)  6/10 + 5/100 + 9/1000    Solution

9)  3/1000 + 7/10000    Solution

10)  9/100 + 1/1000   Solution

11)  9/10 + 6/100    Solution

12) 7/10 + 5/100 + 1/1000  + 7/10000    Solution

Problem 13 :

Write the fraction as a decimal. Is it terminating or repeating?

a) 3/5         b) 1/9         c) 9/20        d) 8/5

Solution

Problem 14 :

You run the 40-yard dash in 6 21/25 seconds. Your teammate runs it in the time shown. Who is faster and by how much?

Solution

Problem 15 :

The length of a goldfish is 5/16 foot. Write the length of the goldfish as a decimal.

Solution

How to Convert Improper fraction and Mixed Fraction to Decimal

Questions :

1)  8  8/10   Solution

2)  2  57/100    Solution

3)  13  18/100   Solution

4)  1  461/1000   Solution

5)  7  41/1000   Solution

6)  3  7/1000    Solution

7)  5  6/10000    Solution

8)  5  39/1000    Solution

9)  648/100    Solution

10)  5666/1000    Solution

11)  681/10       Solution

12)  7061/100            Solution

Problem 13 :

At a party, 10 people equally shared 2 1/2 gallons of ice cream. How much ice cream did each person eat?

Solution

Problem 14 :

You have 23 1/2 pounds of blueberries to store in freezer bags. Each bag holds 3 3/4 pounds of blueberries. What is the minimum number of freezer bags needed to store all the blueberries?

Solution

Problem 15 :

A squirrel feeder holds 4 1/2 cups of seeds. Another squirrel feeder holds 6  7/8 cups of seeds. One scoop of seeds is 1 5/8 cups. How many scoops of seeds do you need to fill both squirrel feeders?

Solution

Problem 16 :

A grocery store sells grapes for $1.99 per pound. You buy 2.34 pounds of the grapes. How much do you pay?

Solution

Change the following decimal numbers to fractions or mixed numbers. Reduce answers, if possible.

Problem 1 :

0.25

Solution

Problem 2 :

0.2

Solution

Problem 3 :

3.8

Solution

Problem 4 :

0.75

Solution

Problem 5 :

0.16

Solution

Problem 6 :

0.625

Solution

Problem 7 :

16.31

Solution

Problem 8 :

3.35

Solution

Problem 9 :

0.07

Solution

Problem 10 :

0.1875

Solution

Problem 11 :

42.325

Solution

Problem 12 :

7.37

Solution

Problem 13 :

Write the value of the money as a decimal and as a fraction of a dollar.

a) one nickel

b) one quarter

c) eight pennies

d) one dollar and six dimes          Solution

Problem 14 :

The Henry E. Kinney Tunnel in Fort Lauderdale is the only underwater tunnel on public land in Florida. It has a length of 41/250 mile. The average length of a car is 0.003 mile. How many cars can fit in one lane of the tunnel bumper to bumper?

Solution

Problem 15 :

The sign shows the distances to several zoo exhibits.

a. Write the distances as fractions.

b. How many times farther is the elephant exhibit than the monkey exhibit?

c. The manatee exhibit is 3 times farther than the tiger exhibit. How far is the manatee exhibit?

Solution

Problem 16 :

A basketball player’s 3-point average is the number of 3-point shots made divided by the number of attempts.

a. A player’s 3-point average is 0.36. How could this happen?

b. If the player in part (a) attempted 350 shots, how many shots did the player make?

Solution