Unit 3 Lessons 7,8,9

Lesson 4: Dividing Fractions

Fractions and Division

A fraction can be interpreted as division of the numerator by the denominator

Multiple Choice

Write a division expression for the fraction  $$\frac{6}{7}$$  

• 7÷6

• 6÷7

• 60÷70

Multiple Choice

Write a division expression for the fraction  $$\frac{4}{9}$$  

• 4÷9

• 9÷4

• 49

Multiple Choice

Write a division expression for the fraction  $$\frac{65}{100}$$  

• 100÷65

• 65÷100

• 35

Multiple Choice

Write 9÷11 as a fraction

• $$\frac{9}{11}$$

• $$\frac{11}{9}$$

• 1/2

Multiple Choice

Write 7÷13 as a fraction

• $$\frac{13}{7}$$

• $$\frac{7}{13}$$

• 2/3

Multiple Choice

10 friends order 7 pies to share for dessert. They want to share the pies equally. How much pie will each person get?

• $$\frac{10}{7}$$

• $$1\frac{3}{7}$$

• $$\frac{7}{10}$$

• 70

Multiple Choice

A co-worker brought in 3 apples. They wanted to share the apples equally among 5 co-workers. How much of the apple will each co-worker get?

• $$\frac{3}{5}$$

• $$\frac{5}{3}$$

• $$1\frac{2}{3}$$

• 15

Interpreting Remainders

How Do We Know When:

• To Ignore the Remainder

• To Round Up

• The Remainder is the answer!

Ignore the Remainder

Mrs. Lopez wants to buy V-Bucks so that she can play Fortnite with Gabriel. Each V-Bucks card costs $5.00. Mrs. Lopez has $57. How many V-Bucks cards can she buy?

What do we need to do?

Mrs. Lopez wants to buy V-Bucks so that she can play Fortnite with Gabriel. Each V-Bucks card costs $5.00. Mrs. Lopez has $57. How many V-Bucks cards can she buy?

• First, we need to divide 57 by 5.

• That will tell us how many cards we can buy.

• Our remainder will represent the money that is left over.

Round Up

Mrs. Lopez wants to rent minivans to take her class of 19 students to Nintendo World. If each minivan seats 6 students, how many minivans will need to be rented for all 19 students to attend?

What do we need to do?

Mrs. Lopez wants to rent minivans to take her class of 19 students to Nintendo World. If each minivan seats 6 students, how many minivans will need to be rented for all 19 students to attend?

• First, we need to divide 19 by 6.

• This will tell us how many buses will be filled.

• Our remainder represents the number of students who do not have a seat.

The Remainder is the Answer

Mrs. Lopez wants to rent minivans to take her class of 19 students to Nintendo World. If each minivan seats 6 students, how many students will be sitting in a minivan that isn't full?

What do we need to do?

Mrs. Lopez wants to rent minivans to take her class of 19 students to Nintendo World. If each minivan seats 6 students, how many students will be sitting in a minivan that isn't full?

• First, we need to figure out how many buses we will need.

• Then, we need to see how many students will not be in a full minivan.

Use the Keep, Change, Flip Method

1) keep
keep the first number the same

2) change
change the division symbol to multiplication

3) flip
switch your numerator and denominator

4) multiply straight across

5) simplify if needed

Divide Using Unit Fractions

Multiple Choice

In a unit fraction, the numerator is always ___

• 1

• 2

• 10

• 126

Multiple Choice

Find the quotient: 4÷ $$\frac{1}{2}$$  

​

  

• $$\frac{1}{8}$$  
  

    

• 8

Multiple Choice

Find the quotient: 2÷ $$\frac{1}{8}$$  

• $$\frac{1}{16}$$  

• 16

Multiple Choice

Find the quotient $$\frac{1}{6}÷2$$  

• $$\frac{1}{12}$$  

• 12

Multiple Choice

Find the quotient:  $$\frac{1}{5}$$  ÷3

• $$\frac{1}{15}$$  

• 15

Dividing with a whole number

​When dividing fractions with whole numbers you need to make the whole number into a fraction and then multiply by the reciprocal.

Dividing Fractions

​

To divide fractions​ you need to multiply by the reciprocal.

​

​The reciprocal of a fraction is found by flipping the fraction upside down. ​

Example:

Dividing Mixed Numbers

• Turn mixed numbers into improper fractions.

• Keep, Change, Flip

• Evaluate

Dividing mixed numbers

​When dividing mixed numbers first turn the mixed number into an improper fraction then multiply by the reciprocal.