Reteaching
Name
11-6
Multiplying Mixed Numbers
You can find the product of two mixed numbers.
Millwood City is constructing a new highway through town. The
construction crew can complete 5 ​ _35 ​ miles of road each month.
How many miles will they complete in 6 ​ _12  ​months?
Step 1. Round the mixed numbers to whole
numbers so you can make an estimate.
3 ​3 6 ​ __
1 ​
5 ​ __
5
2
Step 3. Multiply the numerators and the
denominators. Simplify the product if possible.
Remember to look for common factors.
So, they can complete about 42 miles.
14
28  ​3 ___
2 ​
​ ___
​ 13  ​5 ____
​ 182
  
​ 5 36​ __
5
5
5
2
1
Step 2. Write the mixed numbers
as improper fractions.
Step 4. Compare your product to your estimate to
check for reasonableness.
3 ​3 6 ​ __
1 ​5 ___
5 ​ __
​ 28  ​3 ___
​ 13  ​
36 ​ _25 ​ is close to 42, so this answer
is reasonable.
6 3 7 5 42
5
2
5
2
The construction crew will complete
36 ​ _25 ​ miles of highway in 6 ​ _12 ​ months.
For 1 through 6, estimate a product. Then solve for each actual
product. Simplify if possible.
1. 1​ _34  ​3 2​ _12 ​ 5
2. 1​ _15  ​3 1​ _23 ​ 5
3. 2 3 2​ _14 ​ 5
4. 1​ _25  ​3 2​ _14 ​ 5
5. 2​ _12  ​3 10 5
6. 1​ _23  ​3 _​ 15 ​ 5
7. Using the example above, the new highway will be a total of
54 miles long. Will the highway be finished in 8 months?
8. Sayed gave an answer of 6​ _67 ​ for the problem 4​ _27 ​ 3 1​ _35 ​.  Using
estimates, is this a reasonable answer?
R 11•6
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Practice
Name
11-6
Multiplying Mixed Numbers
Estimate the product. Then complete the multiplication.
​     
​ 3 __
​ 7 ​5
1. 5​ _45  ​3 7 5 ______
5
1
2. 3​ _23 ​ 3 5​ _17 ​ 5​______
     
​ 3​______
     
​ 5
7
3
Estimate. Then find each product. Simplify.
3. 4​ _35  ​3 _​ 23 ​ 
4. 6 3 2​ _27 ​ 
5. 7​ _45  ​3 2​ _13 ​ 
6. 3​ _34  ​3 2​ _45 ​ 
7. 2​ _15  ​3 _​ 78 ​ 
8. 6​ _13  ​3 1​ _56 ​ 
9. 1​ _45  ​3 1​ _13 ​ 3 1​ _34 ​ 
10.​ _34 ​ 3 2​ _23 ​ 3 5​ _15 ​ 
11. Write a mixed number for p so that 3​ _14 ​ 3 p is
more than 3​ _14  ​.
12. A model house is built on a base that measures 9​ _14 ​ in.
wide and 8​ _45 ​ in. long. What is the total area of the model
house’s base?
13. Which is 1​ _34 ​ of 150​ _12 ​?
 
A 263
B 263​ _18 ​ 
C 263​ _38 ​ 
D 264​ _38 ​ 
14. Megan’s dog Sparky eats 4​ _14 ​ cups of food each day. Explain
how Megan can determine how much food to give Sparky if
she needs to feed him only _​ 23  ​as much. Solve the problem.
P 11•6
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