```Multiplying Fractions
Developed by: Kira Shank, M.Ed
What you will learn….
How to multiply fractions
How do multiply mixed numbers
Explanation
Steps to follow to multiply fractions:
1. Multiply numerators together
2. Multiply denominators together
3. Reduce the fraction, if needed, to simplest
terms by finding the GCF
Worked Examples
Example 1:
6 3
 
7 5
Multiply the numerators 6 * 3 = 18
Multiply the denominators 7 * 5 = 35
18
35
Worked Examples
Example 2:
4 3
 
8 4
Multiply the numerators 4 * 3 = 12
Multiply the denominators 8 * 4 = 32
12
32
Fraction needs to be simplified. Find the GCF of 12 and 32 = 4
12
32
Divide numerator by 4 = 3
Divide denominator by 4 = 8
3
8
Worked Examples
Practice
1.
4 11
 
9 7
2.
4 7


8 12
Worked Examples
Solutions
1.
4 11 44
 
9 7 63
2.
4 7 28
 
8 12 96
Divide by GCF: 4
7
24
Explanation
Steps to follow to multiply mixed numbers:
1. Convert mixed numbers to improper fractions
2. Reduce any of the fractions if possible
3. Multiply numerators together
2. Multiply denominators together
3. Reduce the fraction, if needed, to simplest terms by
finding the GCF
Worked Examples
1 4
1  
6 8
Example 1:
1 7
1 
6 6
Convert whole number to improper fraction
Then multiply
7 4 28
 
6 8 48
Reduce Fraction: GCF of 28 and 48 is 4
7
12
Worked Examples
Practice
1.
4 3
2  
7 4
Worked Examples
Solutions
1.
4 3
2  
7 4
4 18
2 
7 7
Convert mixed numeral to a fraction
18 3 54
 
7 4 28
Multiply numerators and multiply denominators
Reduce Fraction: GCF is 2