STUDY GUIDE
Name _________________________
Block _____
Unit 2: Fractions
Comparing/ordering, adding,
subtracting
Date _____________
TEST DATE: _________________________________
MATCHING Directions: Listed below are definitions. In the blank beside each definition, specify the most appropriate
word that would best fit the definition by placing the letter of the word in the blank beside the definition.
a.
b.
c.
d.
e.
Proper fraction
Mixed number
Numerator
Simplest form
Fraction
f.
g.
h.
i.
Improper fraction
Equivalent fractions
Common denominator
Denominator
____1.
A number that expresses a part of a whole that has a numerator and a denominator.
____2.
A whole number and a fraction.
____3.
When the numerator is larger than the denominator.
____4.
A fraction is in __________________ when the numerator and the denominator have no
common factor other than 1.
____5.
When the numerator is smaller than the denominator.
____6.
Fractions that name the same number or are of equal value.
____7.
When the denominators in two or more fractions are the same.
____8.
The top part of the fraction is called the ________________.
Write each fraction in simplest form.
To simplify a fraction, find the Greatest Common Factor of both the numerator and denominator, then divide both by that number.
9.
12
60
10.
14
32
Write each mixed number as an improper fraction.
When converting a mixed number to an improper fraction, multiply the denominator and whole number, then add the numerator to
the product to get the new numerator. The denominator stays the same.
11.
3
5
8
2
12. 2
7
Write each improper fraction as a mixed number.
When converting an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the
whole number, the remainder is the numerator and the denominator remains the same. Simplify the fraction if necessary.
13.
14
14.
3
21
4
Use <, >, or = to compare the fractions.
Before comparing or ordering fractions, each fraction must have
common denominators. In order to find common denominators, find
the least common multiple of each denominator. Whatever the
denominator must be multiplied by to become the least common
denominator, must be multiplied to the numerator as well. Once the
denominators are the same, compare or order the numerators.
15.
16.
17.
2
_____
6
_____
7
8
2
_____
3
5
18. Order the fractions from least to greatest.
7 1 3
, ,
8 4 4
19. Order the fractions from least to greatest.
7
3
4
1 9 1
,
,
2 12 3
20. Order the fractions from greatest to least.
1 8
,
7
,
5 10 20
3
12
Add. Write your answers in simplest form.
Subtract. Write your answers in simplest form.
Each fraction must have common denominators before they can be added or subtracted.
21.
3
5
1
+5
2
4
22. 13 + 6
23.
1
2
+ 23
4
24.
7
8
3
-8
2
2
25. 19 - 3
1
3
26. 23 - 15
Word Problems: Estimate your answer first then Solve – Show All Your Work – Compare Answers
Read each problem carefully to determine the correct operation: addition or subtraction. After solving the problem, check your work
to make sure the answer “makes sense.”
2
3
27. Susie spent 25 hours on her math homework and 15 hours on her science homework. How much
time did Susie spend on her homework altogether?
5
28. Bill and Andy were racing to see who could run the farthest in a specific amount of time. Bill ran 8 of
3
a mile, and Andy ran 4 of a mile. How much farther did Andy run than Bill?
4
1
pounds at birth. After one month, his brother weighed 8
2
5
pounds. How much weight did the baby gain?
29. Nathan’s baby brother weighed 7
30. Sara has already walked
to go?
5
3
miles. It takes 1 miles to get to school. How much farther does she have
8
8