1. Objectives of the Day To be copied into your weekly packet Students will be able to (SWBAT): Convert decimals to fractions in simplest form Convert decimals to mixed numbers in simplest form

2. Converting from decimals to fractions Four-Tenths 1)Read and write the decimal with the proper place value 2)Place the numbers to the right of the decimal over the place value mentioned 3)Reduce to lowest terms 0.4 4 10 4 ÷ 2 = 2 5

3. Why does this work? In words: Four-Tenths As a decimal: As a fraction: 2 5 0.4 Let’s look at it visually!

4. Converting from decimals to fractions Seventy-five hundredeths 1)Read and write the decimal with the proper place value 2)Place the numbers to the right of the decimal over the place value mentioned 3)Reduce to lowest terms 0.75 75 100 75 100 ÷ 5 = 3 4 15 20 ÷ 5 =

5. Converting from decimals to fractions Sixteen hundredeths 1)Read and write the decimal with the proper place value 2)Place the numbers to the right of the decimal over the place value mentioned 3)Reduce to lowest terms 0.16 16 100 16 100 ÷ 2 = 4 25 8 50 ÷ 2 =

6. Converting from decimals to fractions Eight thousandths 1)Read and write the decimal with the proper place value 2)Place the numbers to the right of the decimal over the place value mentioned 3)Reduce to lowest terms 0.008 8 1000 1 125

7. Converting from decimals to fractions Twenty-four ten-thousandths 1)Read and write the decimal with the proper place value 2)Place the numbers to the right of the decimal over the place value mentioned 3)Reduce to lowest terms 0.0024 24 10000 3 1250

8. Converting from decimals to fractions What happens if there’s a number to the left of the decimal (a whole number)? We’ll have to modify our steps: 1) – 3) Stay the same – find the fraction 4) Place the whole number in front of the fraction to make a mixed number

9. Converting from decimals to fractions We already completed 1) – 3) 4) Place the whole number in front of the fraction to make a mixed number 3.4 2 5 2 5 3

10. Converting from decimals to fractions One and thirty- six hundredths 1)Read and write the decimal with the proper place value 2)Place the numbers to the right of the decimal over the place value mentioned 3)Reduce to lowest terms 4)Place the whole number in front of the fraction to make a mixed number 1.36 36 100 9 25 9 1

11. Converting from decimals to fractions 1)Read and write the decimal with the proper place value 2)Place the numbers to the right of the decimal over the place value mentioned 3)Reduce to lowest terms 4)Place the whole number in front of the fraction to make a mixed number 4.045 9 200 4

12. Word Problem Practice 1)Read and write the decimal with the proper place value 2)Place the numbers to the right of the decimal over the place value mentioned 3)Reduce to lowest terms 4)Place the whole number in front of the fraction to make a mixed number Shavelle likes to bake. She bought a package of flour that contains 7.25 cups of flour. She would like to know this number in fraction form so she can use her measuring cups. Write this amount as a mixed number. 1 4 7

13. Converting from decimals to fractions Higher-level thinking challenge: What if we wanted to convert from a decimal to an improper fraction? How would you do that?

14. Exit Questions A student was able to throw a ball 10.032 yards. Write this distance as a mixed number. CHALLENGE: Write this distance as an improper fraction.