1. Today we will explain why decimal and percent equivalents for common fractions represent the same value. equivalent= alike percent=per hundred Concept

2. There are 40 squares shaded. 40 out of 100 are shaded. This means that 40% of the squares are shaded. This also means that 40/100 are shaded. 40/100 is equivalent to 4/10 and 2/5. APK

3. 40/1002/5 4/10

4. Equivalent means to who the same number in a different way. Equivalent CD

5. Fraction A fraction is a number CD Numerator Denominator

6. Percent Percent means per hundred. It is another way of saying “out of one hundred.” CD

7. Common fraction and their decimal equivalents Fraction DecimalPercent 11.0100% 1/3.33333.3% 1/4.2525% 1/5.220% 1/8.12512.5% 1/10.110% 1/2.550% 2/3.66666.6% 3/4.7575% 2/5.440% 5/8.62462.5% 9/10.990% CD

8. 1. Percent is per one hundred, percent may be written as a decimal very easily. Simply place a decimal to the right of the percentage. 2. Next, move the decimal to the left two places. You have now changed your percent into a decimal. 75 %. =.75 Let’s review! Finding the decimal equivalent of the percent.

9. 1. Percent is per one hundred, percent may be written as a decimal very easily. Simply place a decimal to the right of the percentage. 2. Next, move the decimal to the left two places. You have now changed your percent into a decimal. 33 %. =.33 Finding the decimal equivalent of the percent.

10. Let’s review! How to Change Fractions to Percents Step 1 - Divide the denominator into the numerator. 3 4 Stop! You can’t divide a larger number into a smaller number! GP

11. How to Change Fractions to Percents Step 1 - Divide the denominator into the numerator. 3 4 Sure you can if you use decimals. Just watch! GP

12. How to Change Fractions to Percents Step 2 – Add a decimal behind your dividend and two zeros. 3 4 Now does it look like you can divide? 4)4) 3.00 GP

13. How to Change Fractions to Percents Step 3 – Place a decimal in your quotient exactly above the decimal. 3 4 Putting the decimal in the right spot is important. 4)4) 3.00. GP

14. How to Change Fractions to Percents Step 4 – Divide exactly like you would with long division. 3 4 Great job! 4)4) 3.00. 7 2 8 20 5 20 GP

15. How to Change Fractions to Percents Step 5 – Move the decimal 2 places to the right and change the decimal to a percent sign. 3 4 Now wasn’t that easy!. 75% = GP

16. Why is explaining why decimal and percent equivalents for common fractions represent the same value important? You will know how to represent a value with either a decimal, fraction or decimal. It will be tested on future CST exams! What are other reasons why it is important to know how to find percent equivalents for common fractions. IMP

17. Explain why 1/2,.5, and 50% represent the same value. Steps for explaining why decimal and percent equivalents for common fractions represent the same value 1.Draw the fraction for the problem. 2.Decide what real world example you can come up with to explain how ½ is equal to 0.50 3.Decide what real world example you can come up with to explain how 1/2 and 0.50 is equal to 50% 0.50 is like ½ of a dollar or ½ of a pizza. If I look at the pie or pizza to my left, I know that ½ is equal to 0.50, just like a dollar! ½ and 0.50 are the same as 50% just like 50 cents is ½ of a dollar. Or like a test, when you get ½ correct, you have 50% correct!

18. Explain why 1/5,.20, and 20% represent the same value. Steps for explaining why decimal and percent equivalents for common fractions represent the same value 1.Draw the fraction for the problem. 2.Decide what real world example you can come up with to explain how ½ is equal to 0.50 3.Decide what real world example you can come up with to explain how 1/2 and 0.50 is equal to 50% I know every dollar has 10 dimes. 1/5 of this would be 2 dimes. If we convert 1/5 to 10ths, it would be 2/10. This would 0.20. 1/5 and 0.20 have the same value as 20% because we know that if we got 20% on a test of 10 questions, we would only have 2 correct. If the test had only 5 questions, we would get 1 right.

19. Fraction DecimalPercent 11.0 1/333.3% 1/4.25.220% 1/812.5% 1/10.1.550% 2/366.6% 3/475% 2/5.4 5/8.624.990% Lets show how decimal and percent equivalents for common fractions represent the same value. Steps for filling in the chart 1.Decide what is missing 2.If it’s percent, work our the solution. Here are the steps. 1. Percent is per one hundred, percent may be written as a decimal very easily. Simply place a decimal to the right of the percentage. 2.Next, move the decimal to the left two places. You have now changed your percent into a decimal. 3.If it’s a decimal, here are the steps. 1.Divide the denominator into the numerator 2. Step 2 – Add a decimal behind your dividend and two zeros. 3. Step 3 – Place a decimal in your quotient exactly above the decimal. 4.Step 4 – Divide exactly like you would with long division. 5.Move the decimal 2 places to the right and change the decimal to a percent sign. (If you want the percentage!)

20. Let’s review why they decimal and percent equivalents for common fractions represent the same value. Why is 0.80 the same as 4/5 and the same as 80%? What does equivalent mean? Equivalent means to who the same number in a different way.