Transcript Fractions and Decimals

Lesson 5
Operations with Mixed Numbers
Find the value of each expression. Write each answer
in simplest form.
1.
4 5

5 6
2.
4 1

9 3
3.
1 7

3 10
2 1
4.

15 5
Target:
Add, subtract, multiply or divide mixed numbers.
1.
Write each mixed number as an improper fraction.
2.
Follow the procedures for adding, subtracting,
multiplying or dividing fractions.
3.
Write the answer in simplest form. Convert the
answer to a mixed number if needed.
Find the value of 2 14  1 78 .
9
15
7
2  and 1 8 
4
8
1
4

Change to improper fractions.

Write equivalent fractions with the
same denominator.


Add numerators.
Write as a mixed number.
9 18

4 8
18 15 33
 
8 8
8
33
 4 18
8
Madison had a rope that was 8 feet long. She cut off a piece for a
friend that was 5 34 feet long. How much rope does she have left?

Write the problem. 8  5 34

8
23
3
and 5 4 
Make improper fractions. 8 
1
4

8 32
Write with the same denominator. 
1 4

Subtract numerators.

32 23 9


4
4 4
Write as a mixed number. 9  2 1
4
4
feet of rope left
Find the value of 2 16 103  .




Write as an improper fraction.
2 16  136
Multiply.
 13  3  39
   
 6  10  60
Simplify.
39 13

60 20
2 16 103   1320
Iona runs six days each week. Each of her runs is equal in length. If
her total mileage for the week is 12 34 miles, how long was each run?

Write the problem.
12 34  6

Write as improper fractions.

51 6 51 1 51
   
Divide.
4 1 4 6 24
51
6
12 
and 6 
4
1
3
4

Simplify and write as a mixed number.

Iona runs 2 18 miles each day.
51 17

 2 18
24 8
1.
Find the value of 4 12  2 34 .
2.
Wildy had 1 56 yards of ribbon. She purchased an
additional 3 13 yards of ribbon. How many total yards
of ribbon does she have?
3.
Ivan walked 6 78 miles over 5 days. He walks the
same amount each day. How far is his daily walk?
4.
Find the value of 3 34 1 15 .
What is the process for multiplying two mixed numbers?