Name: ____________________________________ Period ______ Date _________________________
Mastery of Fractions Skills - Examples
1. Find a COMMON Denominator – also known as “Renaming Fractions.”
a)
3
5
and
2
3
b)
1
4
9
and
2
1
6
2. SIMPLIFY Fractions – write a fraction or mixed number in simplest form by dividing both
terms by the Greatest Common Factor. (Or by dividing a common factor out of the numerator &
the denominator until there are no more common factors.)
a)
18
b)
63
3
12
16
3. Convert Improper Fractions into Mixed Numbers – Think of the improper fraction as a
DIVISION PROBLEM.
a)
12
5
(How many 5’s are in 12?)
b)
7
3
(How many 3’s are in 7?)
4. Convert Mixed Numbers into Improper Fractions – Helpful when multiplying & dividing.
a) 2
1
3
b) 4
3
5
5. Add or Subtract Fractions with LIKE (the same) Denominators.
a) 1
4
7
+
9
9
=
b) 3
11
8
-
15
=
15
6. Add or Subtract Fractions with UNLIKE Denominators.
a) 2
1
2
+
5
=
3
b) 1
4
9
-
1
3
=
7. Multiply Fractions using the Algorithm.
6
a)
1
2
x
2
5
=
b)
2
7
1
x 24 =
8. MODEL Multiplication – by drawing & shading an area model, using a number line, or using
manipulatives.
1
4
1
x 12 =
( Means ¼ “of” 1 ½ )
1
12 x
1
4
=
( Means __________________________________________________ )
9. Reciprocals – understand what a reciprocal is and how it can be used.
By definition, the PRODUCT of a number and its reciprocal EQUALS 1
a)
5
6
6
x
5
=
30
30
= 1
b)
Write the reciprocal for the following:
7
c)
d)
19
1
99 x
3
28
99
=
99
99
= 1
e) 27
10. Divide Fractions Using Algorithm:
KCF – Keep Dividend. Change Operation to Multiplication. Flip Divisor to Reciprocal.
a)
5
6
÷
2
3
=
b) 2
1
2
÷
1
2
=
11. MODEL Division – Understand what division means.
For example: 2½ ÷ ½ means “How many ½ ‘s are in 2½ ?”
a) Use the number line to find the solution for:
Think:
3
1
2
÷
1
4
How many ___________ are in _____________ ?
=
12. SOLVE Real World Problems Involving Fractions and Mixed Numbers.
Steve’s mother bought a 6-cup carton of juice.
a)
How many
b)
If
1
5
¾
A serving size is ¾ cup.
cup servings are in the 6 cup carton?
Suppose we have
2½
gallons of ice cream left over from your class party.
of the left-over ice cream is strawberry ice cream, how many gallons of strawberry ice
cream is left over?
13. Create a Story or Word Problem Involving Fractions.
Use
3¼ ÷ ½
(On separate sheet of lined paper.)
to create your own word problem and find the solution.