Common Denominators
Strategies and Terminology
Story Problems
Mixed Numbers
Fraction-of
100
Find the common denominator and solve
1/2-3/10
Common Denominator: 10
1/2-3/10=2/10
100
What is a unit fraction? AND Find the unit fraction of
4/9
Unit fraction is a fraction whose numerator is 1.
The unit fraction is
1/9
100
We are celebrating a birthday that has a cookie cake for dessert. If Leo ate 1/2 of the cookie cake and Ranya ate 1/8 of the cookie cake. How much of the cookie cake did both Leo and Ranya eat?
5/8
100
39/4
9(3/4)
100
2/3 of 9
6
200
Find the common denominator and solve.
7/15+1/3
Common Denominator: 15
7/15+1/3=12/15
200
What is a multiple? Provide an example.
A multiple of a number is the product of that number and another number.
Example: Multiples of 8 include- 8,16,24,32,40,...
200
Arnav ran 5(2/4) miles on Monday and 1(5/8) miles on Tuesday. How many miles did Arnav run in total?
Arnav ran
7(1/8)mi
200
59/8
7(3/8)
200
3/4 of 28
21
300
Find the common denominator and solve.
5/12+3/7
Common denominator: 84
35/84+36/84=71/84
300
What does It mean for fractions to be equivalent?
Create a list of 3 equivalent fractions.
Equivalent fractions are fractions that have different numerators and denominators but are equal to the same value.
Ex:
2/3=4/6=8/12
300
Gefen had 10ft of ribbon. She used
4/5 of It to tie a bow on a large gift box. How much ribbon did she use?
Write a number model AND solve.
8ft
10times(4/5)=8
300
26/3+15/2=? Change into mixed numbers and solve.
26/3=8(2/3)
15/2=7(1/2)
8(2/3)+7(1/2)=16(1/6)
300
Draw and shade 1/4 of 2/6 then solve.
2/24
400
Find the common denominator and solve.
3(9/24)-1(2/6)
Common Denominator: 24
2(1/24)
400
Make 4/6 a division model then solve for the whole number 9.
4/6=4div6
9times4div6=6
400
Evan is traveling by plane to California. The flight itself is
4(1/2) hours. The plane took off 1(2/3) hours ago. How much longer will Evan be on the plane until he gets to California?
Write a number model AND solve.
Number Model:
4(1/2)-1(2/3)=H
2(5/6)hrs
400
75/4-32/7?
Change into mixed numbers and solve.
75/4=18(3/4)
32/7=4(4/7)
18(3/4)-4(4/7)= 11(6/28)
400
Draw and shade 1/3 of 3/4
3/12
500
Find the common denominator and solve.
4(3/5)-3(2/3)
Common Denominator: 15
4(3/5)-3(2/3)=14/15
500
When and why do we have to rename fractions?
Provide a number sentence in which you would have to rename a fraction.
We need to rename a fraction if we cannot subtract the top number (minuend) from the bottom number (subtrahend).
Ex:
4(1/3)-1(1/2)= L
500
Kate had 1/4 liter of water. She drank 2/3 of the water. What part of a liter did she drink?
1/4times 2/3=2/12
500
10(1/5)-4(2/3)
5(8/15)
500
1. Draw our model.
2. Add tick marks to both the horizontal and vertical number lines on the model.
3. Write a number sentence for the area of the shaded rectangle.
4. Solve for the area of the shaded rectangle.
1 and 2.
3.
3/4 times 4/6=A
3/4 times 4/6=12/24