1. Multiplication of Fractions with Mixed Numbers

2. Times You Would Multiply a Mixed Number Times a Fraction
In a car race, the track is 2 ¼ miles long. If the car breaks down ½ way through the course, how far did you go?
1/2 of 2 1/4 or 1/2 x 2 1/4
Copyright © 2000 by Monica Yuskaitis

3. Multiplying Fractions Conceptual Understanding
When you multiply a positive mixed number by a fraction between 0 and 1 the product is less than the mixed number.
1¼ x ½ = 5/8
Look at the diagram on the
next slide to understand why.
Copyright © 2000 by Monica Yuskaitis

4. Multiplying Fractions Conceptual Understanding
1¼ x ½ = 5/8
1/8
1/8
1/8
1/8
1/8
Copyright © 2000 by Monica Yuskaitis

5. How to Find a Fraction of a Mixed Number
The first thing to remember is “of” means multiply in mathematics. of x =
Copyright © 2000 by Monica Yuskaitis

6. How to Find a Fraction of a Mixed Number
Step 1 – Change the mixed number to an improper fraction.
27 + 4 1 4 31 + x 3 2 9 9 x 27
Copyright © 2000 by Monica Yuskaitis

7. How to Find a Fraction of a Mixed Number
Step 2 – Multiply the numerators straight across. 1 31 31 x = 2 9
Copyright © 2000 by Monica Yuskaitis

8. How to Find a Fraction of a Mixed Number
Step 3 – Multiply the denominators straight across. 1 31 31 x = 2 9 18
Copyright © 2000 by Monica Yuskaitis

9. How to Find a Fraction of a Mixed Number
Step 4 – Simplify your answer. In this case change the improper fraction to a mixed number. 13 1 18 1 31 31
18) 31 x = 2 9 18 18 13
Copyright © 2000 by Monica Yuskaitis

10. Copyright © 2000 by Monica Yuskaitis
Multiply and Simplify
35 + 4 4 39 39 1 + x 5 = 4 x 7 7 28 35 11 1 28
28) 39
Copyright © 2000 by Monica Yuskaitis

11. Can we simplify before we multiply?
Multiply and Simplify
27 + 1 1 28 4 + x 3
Can we simplify before we multiply? 7 x 9 9 27 4 1
Copyright © 2000 by Monica Yuskaitis

12. Can we simplify before we multiply?
Multiply and Simplify
24 + 3 3 27 4 + x 6
Can we simplify before we multiply? 5 x 4 4 24 1 1
Copyright © 2000 by Monica Yuskaitis

13. Can we simplify before we multiply?
Multiply and Simplify
24 + 1 1 25 2 + x 6
Can we simplify before we multiply? 5 x 4 4 24 1 5 1 2
Copyright © 2000 by Monica Yuskaitis