Name - ______
Ch. 3 Study Guide
1. Write 3 and 4 sevenths as a mixed number and an improper fraction.
3 4 3 4 = ( 3 x 7 ) + 4 . = 25
7 7 7 7
2. Identify the fraction that is equivalent to the given fraction. 5 10 , 10 , 15 , 10
6 8 12 12 18
5 = 5 x 2 = 10
6 6 x 2 12
3. Write the fraction in simplest form. 12 4 , 6 , 2 , 3
20 5 10 3 5
12 = 12 ÷ 4 . = 3
20 20 ÷ 4 5
4. By the age of 29, Justin had visited 15 out of the 50 states. What fraction of the states had Justin visited? Write the answer in simplest form.
15 = 15 ÷ 5 . = 3
50 50 ÷ 5 10
5. Jolinda scores 15 points during her basketball game. Her team scores a total of 30 points. What fraction of the team's points does Jolinda score? Write the answer in simplest form.
15 = 15 ÷ 15 . = 1 or 15 = 15 ÷ 5 . = 3 = 3 ÷ 3 . = 1
30 30 ÷ 15 2 30 30 ÷ 5 6 6 ÷ 3 2
6. Write the improper fraction as a mixed number in simplest form. 61 56
8 9
Divide the denominator into the numerator. The quotient is the whole number and the remainder
is the numerator. The denominator stays the same.
61 = 7 5 56 = 6 2
8 8 9 9
7. Write the decimal as a fraction or mixed number in simplest form. 0.078 or 6.18
0.078 = 78 . = 39 . 6.18 = 6 18 . = 6 9 .
1000 500 100 50
Gridded Items - Mark the following answer in the answer grid.
8. Write 4 as a decimal. 9. Write 34 as a decimal.
16 20
Divide the denominator into the numerator. This will give you a decimal answer.
4 . = 0.25 34 . = 1.7
16 20
Open-Ended Questions - The following problems require you to show your work and explain your reasoning. You may drawings, words, and/or numbers in your answer. Your answer should be written so that another person could read it and understand your reasoning. It is important that you show all your work.
10. A local reader's club has a set of 12 hardback books, a set of 16 paperbacks, and a set of 36 magazines. Each set can be divided equally among the club members.
Find the GCF for all three numbers.
a. What is the greatest possible number of club members? The greatest possible number of club
members is 4.
Write the sets of factors for each number.
b. Explain how you found your answer. I wrote down the factors for each number and
compared the answers to see what the greatest common factor was for the three numbers.
11. Is 30 in simplest form?
68
a. Explain why it is or is not in simplest form.
30 is not in simplest form because it can be reduced by at least 2.
68
b. If it can be reduced, write it in simplest form and explain how you reduced it?
I reduced 30 by 2, which gave me 15 .
68 34