Fraction ÷ Fraction
Mixed Number ÷ Fraction
Fraction ÷ Whole Number
Mixed Number ÷ Mixed Number
Vocabulary
100
6/8 ÷ 3/8 =
Because they are both in eights you can divide the numerators 6 ÷ 3 = 2
100
2 1/2 ÷ 1/2 =
1/2 will go into 1 whole twice, so it will go into 2 1/2 5 times.
2 1/2 ÷ 1/2 = 5
100
2/3 ÷ 2 =
Half of 2/3 is 1/3 so 2/3 ÷ 2 = 1/3
100
3 1/2 ÷ 3 1/2 =
Any number divided by itself is 1.
3 1/2 will go into 3 1/2 exactly 1 whole time
100
A fraction with a one in the numerator is called?
What is a Unit Fraction
200
Draw a model to show 4/5 ÷ 1/3
"See Google Drawing of 4/5 ÷ 1/3"
200
Draw a model to show 2 2/3 ÷ 5/6.
"See google drawing Model of 2 2/3 ÷ 5/6."
200
Draw a model of 4/5 ÷ 6.
"See google drawing Model of 4/5 ÷ 6."
200
Draw a model of 3 1/2 ÷ 1 1/4
"See google drawing Model of 3 1/2 ÷ 1 1/4."
200
A whole number and a fraction.
What is a mixed number?
300
Sam had 11/8 cups of blueberries. It takes 3/4 of a cup to make 1 batch of blueberry muffins. How many batches of muffins can Sam make?
Use the reciprocal of 3/4 and multiply
11/8 ÷ 3/4 = 11/8 x 4/3 = 44/24 = 11/6 = 1 5/6
1 5/6 batches of blueberry muffins
300
A relay team is running a race that is 4 1/2 miles long. Each team member runs 3/4 of a mile. How many team members will need to be on the team?
4 1/2 ÷ 3/4 = 4 1/2 x 4/3 = 9/2 x 4/3= 36/6= 6
There will need to be 6 team members
300
Sarah has 7/8 of a pan of brownies. She shares her brownies equally among 7 people. How much of a pan of brownies will each person get?
7/8 ÷ 7 = 7/8 x 1/7 = 7/56= 1/8
Each person will get 1/8 of a brownie pan.
300
Julie has 3 1/5 pounds of hamster food. Her hamsters eat 1 1/3 pounds in a week. How many weeks will she be able to feed her hamsters before she needs to buy more food?
3 1/5 ÷ 1 1/3= 16/5 ÷ 4/3= 16/5 x 3/4= 48/20=
2 8/20= 2 2/5
She can feed her hamsters for 2 2/5 weeks before buying more food
300
When you flip a fraction over to make the numerator the denominator and make the denominator the numerator.
What is the reciprocal?
400
9/7 ÷ 5/4 =
9/7 ÷ 5/4 = 9/7 x 4/5 = 36/35 = 1 1/35
400
5 3/4 ÷ 4/5 =
5 3/4 ÷ 4/5= 23/4 ÷ 4/5= 23/4 x 5/4= 115/16=
7 3/16
400
3/8 ÷ 5 =
3/8 ÷ 5= 3/8 x 1/5= 3/40
400
7 2/3 ÷ 3 3/5 =
4 2/7 ÷ 3 3/5= 30/7 ÷ 18/5= 30/7 x 5/18= 150/126= 1 24/126= 1 12/63= 1 4/21
400
A fraction that has a larger numerator than denominator.
What is a top heavy fraction, or Fraction greater than 1.
500
Describe the algorithm for dividing two fractions that will work all the time.
1. If there are mixed numbers change them to top heavy fractions.
2. Keep the first fraction
3. Change the division to multiplication
4. Use the reciprocal of the second fraction
5. Multiply the fractions
6. Simplify your answer
500
6 2/9 ÷ 5/6=
6 2/9 ÷ 5/6= 56/9 ÷ 5/6= 56/9 x 6/5= 336/45=
7 21/45= 7 7/15
500
7/5 ÷ 4/1=
7/5 ÷ 4/1= 7/5 x 1/4= 7/20
500
What you get when you multiply a fraction by it's reciprocal?
What is 1?
2/3 x 3/2 = 6/6 = 1
500
A fraction within a fraction
example: 1/2/5
What is a complex fraction?