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Unit 6, Lesson 1:
Unit 6, Lesson 1:
Multiplying Whole Numbers and Fractions
Objective:
A fraction can be part of a whole
or part of a group.
1. Draw a picture of 6 eggs.
2. How can w show the eggs in thirds? Or, three equal parts?
Students will multiply
a fraction by a
whole number.
3. How many eggs are in each third?
2
4. How many are in 2 thirds?
You have learned how to multiply whole numbers; today we will multiply whole numbers and fractions.
4
Consider this: Emily has 6 eggs. She needs 2/3 of the eggs to make an omelet. How many eggs does she need?
FUN FACT!
In math, the word "of"
indicates multiplication. So,
Emily has 6 eggs. She needs
2/3 of the eggs
to make an omelet.
How many eggs does she need?
How would you solve this problem? Pause the video and try to work it out.
How did you do?
Leave a comment in the Google Classroom. You may ask a question if you are having trouble understanding or provide an example to show you got it! Feel free to offer help to a classmate as well.
We can also look at repeated addition.
Do you see a pattern?
Work in your math journal to solve the following problem three ways.
First, draw a picture to represent the problem.
Second, use repeated addition.
Third, multiply the numerators and denominators.
Another way to multiply fractions is to multiply the numerators across, then the denominators.
8 =
x
1
4
1/4 of 8 triangles is 2
2
+
=
+
=
+
1
4
8
4
1
4
6 =
x
2
3
6 =
of
6 =
x
2
3
means
1
6 =
of
2
3
8 =
x
=
=
81
8
4
1
4
2
12
6
=
x
2
3
3
=
4
12
3
+
=
2
3
Don't forget that a whole number can be shown as a fraction by placing it over 1.
12
3