Lesson 7.1: Mixed Numbers

Math Reflexes

10

5

Circle the numerator. Underline the denominator in each fraction.

8

3

Math MessageComplete Problems 1 and 2 on MJ page

187.

Improper Fractions

1What’s the value of the other

shapes?Place on your desk. This is an improper fraction because the numerator is larger than the denominator.

There is always another way to write an improper fraction. Can you figure out how we can do this? You can use your shapes to help you figure it out.

2

1

3

14

1

2

5

2 ½ = 5/2

Let’s try this with other improper fractions.

Place 9/2 in front of you. How can we write this as a mixed number?

Improper Fractions

4 ½

Place 7/3 in front of you. How can we write this as a mixed number?

Place 14/6 in front of you. How can we write this as a mixed number?

Place 4/3 in front of you. How can we write this as a mixed number?

Improper to Mixed

How can we change improper fractions to mixed numbers not using shapes?

Remember that the fraction bar also means division…

So, Let’s set it up as a long division problem.

Using long division to convert improper fractions to mixed numbers.

Mixed Number to Improper Fraction

Step 1: 3 * 2 = 6

Step 2: 6 + 1 = 7

Step 3: 7/3

So, 3 ½ = 7/3

Wrapping it UpWrite your work in your Math Notebook.

Write five thirds in your notebook.

Use long division to change five thirds into a mixed number.

Write 2 ½ in your notebook.

Change it into an improper fraction.

Homework

Math Box 7.1

Math Box 7.1 Answers