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Copy of Multiplying Fractions by Whole Numbers

Day 1: Introduction into Multiplying Whole Numbers by Fractions

Darlene Gibbs

on 25 September 2013

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Transcript of Copy of Multiplying Fractions by Whole Numbers

* I can rewrite a whole number as that number over one.
* I can multiply fractions by whole numbers.
* I can explain and justify the process for multiplying
fractions and whole numbers.

Multiplying Fractions by Whole Numbers (2-1D)
Vocabulary for the Day
Let's Practice One Together!
fraction: part of a whole

unit fraction: a fraction where the numerator is 1. (example 1/4)

equivalent: having the same value

operations: addition, subtraction, multiplication, division

mixed number: having a whole number and a fraction combined into a mixed number.

multiple: A multiple of a given number is the product of that number and another (think skip counting).


separate: subtraction
Let's Check Out A Warm Up Problem
Example: 5 x 2/3

Step 1: Convert your whole number into a fraction. (This can be done by writing the whole number as the numerator and one as the denominator)

Step 2: Multiply the numerators.

Step 3: Multiply the denominators.

Step 4: Convert your improper fraction into a mixed number.
A cookie factory puts 5/8 of a barrel of flour into each batch of cookies. How much flour will the factory use for 8 batches?
The Daily Bread Bakery needs your help! This morning when they walked in, they realized that 7 cupcakes had been tampered with! Interestingly enough though, only 1/4 of the cupcake had been eaten from each of the 7 cupcakes. How much had the cupcake bandit eaten in all?
To solve this problem, we need to create a picture.

Draw your seven cupcakes.
Now divide each of these cupcakes into 4 pieces and shade in 1/4 of the cupcake.
Can you think of a way to express this with a mathematical equation?
Let's Try One More Together!
Aja collected 3/4 of a bin of glass bottles to recycle. Carolyn collected 7 times as many bins as Aja. How many bins of bottles did Carolyn collect?
Start by writing this as an equation.
Let's Review!
Now Your Turn!
Find the Error...
Noah is finding 3/4 of 8. Find his mistake and correct it.
Multiplying Fractions by Whole Numbers
You may start by drawing a picture
You may begin by writing this as an equation.
Partner A:
1) 7 x 1/4 3) 8 x 1/3

2) 6 x 2/5 4) 9 x 3/4
Partner B:
1) 8 x 4/7 3) 5 x 1/6

2) 7 x 1/5 4) 3 x 4/5
1) Whole numbers can be written as fractions simply by writing that number over 1.

2) Why would it be important to know how to multiply a whole number by a fraction? Explain to your partners some examples of when you may use this in every day life.

3) Solve the following problem on your own. Write it out and use your problem solving strategy to complete it!


Yesterday, Terrel's Doughnut Shop sold 3/4 as many chocolate doughnuts as cinnamon doughnuts. If they sold 7 trays of cinnamon doughnuts, how many trays of chocolate doughnuts did they sell?
3/4 x 8 = 24/32
Exit Question:
Full transcript