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

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

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

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

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

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

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.

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

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.

Hundredths A hundredth is one equal part of a hundred. For example, 21/100 is written as 0.21. It means that there are 21 parts out of 100. This grid shows 0.25 or 25/100.

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

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.

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

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

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.

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: http://www.sheppardsoftware.com/mathgames/fraction s/FractionsToDecimals.htm