Whole Numbers × Fractions
6 × ⅓ = ?
2
What’s the first step when multiplying mixed numbers?
Convert to improper fractions
True or False
A reactangle can be used as a model to represent multiplying fractions. One side represents one fraction factor and the adjacent side represents the other fraction factor.
True
The side of the rectangle is one factor and the top is the where you place the other factor.
“Of” in math usually means what operation?
Multiply
Baseball doughnuts are weights placed on baseball bats to help batters swing faster during warmup. A high school team uses base ball doughnuts that weigh 6 2/3 ounces each. Write an equation to model the weight of 5 baseball doughnuts. Use the variable x in your equation. And solve.
What is 5 x 6 2/3 = 33 1/3
5 × ¾ = ?
3¾
3 × 4⅔ = ?
14
When using the rectangle model to represent multiplying fractions, the factor on the side represents the rows and the denominator tells ______________.
How many rows the rectangle is divided into?
Rachel bought 200 flowers. ⅖ were roses. How many were roses?
80
Susan had 24 cups of sugar. She used 2/3 for a recipe. How much sugar did Susan use? Write an equation to model your work.
What is 2/3 of 24 = 16 Cups
What do you do to turn a whole number into a fraction?
Write it over 1 (e.g., 6 = 6/1)
2½ × 3 = ?
7½
When using a rectangle to model to multiply fractions, the factor on the top represents the number of columns the the rectangle has. The denominator tells _________.
How many columns the rectangle is divided into?
⅛ of Rachel’s flowers were hydrangeas. How many were hydrangeas?
25
TWO PART QUESTIONQuinton has 8 bottles of water that each weigh 2/3 pound. What is the total weight of the water bottles? If he adds 3 more bottles of the same weight, what is the total weight of the water bottles? You can use a number line to help.
What is 8 x 2/3 = 16/3 = 5 1/3
2 x 2/3 = 4/3 = 1 1/3
5 1/3 + 1 1/3 = 6 2/3
Simplify: 8 × ⅝
5
1⅓ × 2½ = ?
3⅓
When using a rectangle to model multiplying fractions, the numerator of each fraction tells how many __________ and _________________ to shade in.
How many rows and columns to shade in.
How many lilies were there if the rest were lilies?
95
THREE PART QUESTION Ricardo collected 7 pounds of aluminum cans. Alicia collected 1 1/2 times as many pounds as Ricardo. Nikko collected 6/7 as many pounds as Ricardo. And Reanna collected 5/5 as many pounds as Ricardo. A. Without multiplying, who collected more cans than Ricardo? EXPLAIN
B.Without multiplying who collected fewer cans than Ricardo? EXPLAIN
C.) Who collected the same number of pounds of cans as Ricardo? Explain
A.) Who is Alicia?
B.) Who is Nikko?
c.) Who is Reanna?
7 × ⅔ = ? Simplify.
4⅔
Convert 5⅔ into an improper fraction.
17/3
TWO PART QUESTION
When using a rectangle model to multiply fractions, the double shaded part tells which part of the answer? ______.
How do you find the other part of the answer?
What is the double shaded part of the model is the numerator and then you have to count all the little squares to find the denominator?
If ⅖ of a cake is eaten and then ½ of what’s left is eaten, what fraction of the cake remains?
3/10
TWO PARTSRamies bedroom has one wall that has no windows or doors. He wants to cover it with fabric. It measures 3 2/3 by 5 1/2. PART A.) ESTIMATE Write an equation by rounding to the nearest whole number to estimate the total number of yards of fabric needed. Part B.) SOLVE Write an equation to solve and find the actual number of yards of fabric Ramie will need.
BONUS - Was your Estimate Close?
A.) 4 x 6 = 24
B.) 3 2/3 x 5 1/2 =
11/3 x 11/2= 121/6= 20 1/6