Name: ________________
Proper, Improper and Mixed Fractions
Practice
Name: ________________
Practice
1. Tell what improper and mixed number fractions are represented by the shaded portion
of each picture.
a)
b)
Improper:
Mixed:
Improper:
Mixed:
c)
d)
Improper:
Mixed:
Improper:
Mixed:
2. Convert the improper fraction to a mixed number fraction. Show your work. Pick 3
and draw a picture to prove they are equal.
a)
13
b)
7
c)
15
d)
9
e)
12
f)
29
5
2
3
4
6
7
Name: ________________
3. Convert the mixed number fractions to improper fractions. Show your work.
Pick 3 and draw a picture to prove that they are equal.
4
a) 2 5
3
b) 5 5
7
c) 4 8
3
a) 6 7
2
b) 3 3
5
c) 7 6
4. List the numbers from least to greatest. Show how you did it.
3
1
14
3
a) 3 4 , 3 6 , 2
b) 2 4
1
, 2 12 ,
17
8
5. Jeff baked 3 2 dozen cookies. How many cookies did Jeff bake? Draw a picture.
Name: ________________
Ratios
6. Look at the following, then state what objects are being compared:
12 to 5 _____________________________
1 to 6 _________________________
1 to 3 _____________________________
5 to 4 _________________________
7. Write three different ratios to describe the pictures.
(You can color the shapes)
a)
b)
8. Convert each of the following ratios to decimal form.
a) 1 to 3
b) 5 : 6
c)
6
9
d) 25%
9. Convert each of the following ratios to reduced fraction form.
a) 12 to 36
b) 15 : 25
c) 16 to 64
d) 35%
Name: ________________
10. Write a ratio to show the numbers of:
a) circles to squares
b) squares to circles
c) circles to all shapes
d) squares to all shapes
11. Count the number of boys and girls in your class. Write each ratio.
a) boys to girls
b) girls to boys
c) girls to students
d) boys to students
12. What is being compared in each ratio?
a) 5 : 2
b) 2/7
c) 5 to 7
d) 2 : 5
13. Write 2 equivalent ratios for each ratio.
a) 2 : 2
b) 4 : 7
c) 6 : 8
d) 1 : 6
e) 5 : 2
f) 6 : 2
g) 9 : 3
h) 4 : 5
i) 8 : 3
14. Write an equivalent ratio with 50 as one of the terms.
a) 5 : 10
b) 7 : 25
c) 9 : 5
d) 10 : 6
e) 2 : 6
f) 10 : 7
Name: ________________
15. The word “can” has a vowel to consonant ratio of 1 to 2.
a) Find 3 words, each with more than 3 letters, with a vowel to consonant ratio equivalent to
1 to 2.
b) Choose a vowel to consonant ratio. Find 3 words with that ratio.
16. Each diagram represents 100 squares. Write each as a percent, decimals and
fraction.
a)
b)
Fraction: ____________
Fraction: ____________
Decimal: ____________
Decimal: ____________
Percent: ____________
Percent: ____________
17. Write each percent as a fraction.
a) 44% = ________
b) 25% = ________
c) 63% = ________
Name: ________________
18. Write each decimal as a percent.
a) 0.76 = _________%
b) 0.33 = _________%
c) 0.88 = ______%
d) 1.03 = __________%
e) 0.02 = __________%
f) 0.08 = ______%
19. Tracy got 16/20 on his science test. Tristan got 85% on the same test. Who
received the better mark?
20. Jessica received 45/51 on her math test. About what percent did Jessica get on
the test?
21. Find the total price of each amount if there is 6% GST on the item.
a) A shirt for $22.50
b) A t-shirt for $19.90
d) A pair of jeans for $77.80
e) A pair of pants for $45.99
c) A jacket for $155.99
f) A tank top for $19.75
22. Andy went to the mall. He bought a shirt and paid $48.00. The shirt was 20%
off.
a) What percent of the original price did Andy pay?
b) What was the original price?
Name: ________________
23. Complete the following chart.
Item
Price
Discount
Shirt
$35.50
30%
b) Jeans
$89.99
25%
c)
Jacket
$149.90
40%
d) Tank Top
$13.50
45%
e)
$45.70
60%
a)
Pants
Amount Off
Sale Price
a) If Katherine was given $150 to buy some new clothes. Could she buy all the clothes
listed in the chart?
24. Complete the following chart.
Fraction
Decimal
a)
b)
c)
d)
e)
f)
g)
Percent
(Proper/
Improper)
Ratio
Mixed
Number
__ to __
__ : __
0.45
63%
6
4
5
2
3
7
12
9 to 4
5 : 8
Name: ________________