1. Fractions and Decimals
Literature Link: Piece=Part=Portion by Scott Gifford
Lesson 13-4
CCSS 4.NF.5, 4.NF.6

2. MATH Essential Questions
How can models help us understand the multiplication of a whole number by a fraction?
MATH
Essential
Questions

3. MATH Essential Questions
How can I write a fraction as an equation?
MATH
Essential
Questions

4. MATH Essential Questions
How do fractions relate to decimals?
MATH
Essential
Questions

5. Write these irregular fractions as mixed numbers. 31/5 23/4 15/2 43/8
Warm Up
Write these irregular fractions as mixed numbers.
31/5
23/4
15/2
43/8

6. Think and Write
What does it mean to write a fraction in its simplest form? Explain how to write fractions in simplest form.

7. Let’s look at the Envision Video for this lesson and take the quiz.
Today’s Lesson
In this lesson, you will understand how to relate fraction and decimals.
Let’s look at the Envision Video for this lesson and take the quiz.

8. Decimals
In a decimal, there is a tenths place, a hundredths place, a thousandths place, and so on.

9. Tenths
A tenth is one of ten equal parts of a whole. 5/10 is written as 0.5, and 7/10 is written as 0.7.
You can use a grid to show decimals. Here, 9/10 or 0/9 is shown.

10. Hundredths
A hundredth is one equal part of a hundred. For example, 21/100 is written as It means that there are 21 parts out of 100. This grid shows 0.25 or 25/100.

11. Practice!
Practice! Write these fractions as decimals.
8/10
32/100
4/10
65/100

12. Converting Decimals to Fractions
When you convert decimals to fractions, you have to write the fraction in simplest form.
Example: The decimal 0.2 is 2/10. In simplest form, you would write 2/10 as 1/5. Therefore the decimal 0.2 is written in simplest form as 1/5.

13. Practice!
Convert these decimals to fractions. Remember to put the fractions into simplest form.
4.5
0.65
0.23
0.64

14. Problem 1
Marisa got 85/100 problems on her test correct. Write this number as a decimal.

15. Ron ran .8 miles. Write this decimal as a fraction in simplest form.
Problem 2
Ron ran .8 miles. Write this decimal as a fraction in simplest form.

16. Lesson Wrap Up
In this lesson, you learned how to write decimals as fractions and fractions as decimals.
Reflection: Explain to a friend what you did in class today.
Homework (13-4 Practice) for one “Paw Signature” and (13-4 Reteaching & Practice) if you want two “Paw Signatures.”
Website for Practice: s/FractionsToDecimals.htm