1. CONFIDENTIAL1 Good Afternoon! Today we will be learning about Fractions, decimals, percents Let’s warm up : Convert the following Improper fractions to Mixed Numbers: 1) 17 12 2) 28 9 Convert the following Mixed Numbers to Improper fractions : 3) 3 5 4) 4 9 72

2. CONFIDENTIAL2 Let’s review what we did in the last session We learnt the following terms: IMPROPER FRACTIONS: An improper fraction is just a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example:7474 Let’s demonstrate this with a model: 7474

3. CONFIDENTIAL3 MIXED FRACTIONS : A mixed number has a part that is a whole number and a part that is a Proper fraction. 3434 1 Example: Let’s demonstrate this with a model: 3434 1 Review

4. CONFIDENTIAL4 You can convert an improper fraction into a mixed fraction and vice-versa to show the same amount. STEP 1: Divide the numerator by the denominator. STEP 2: Write down the whole number (quotient). STEP 3: Place the remainder over the denominator. To convert from an improper fraction to a mixed number, the following steps are to be followed: Convert Improper fractions to Mixed Numbers Review

5. CONFIDENTIAL5 Change fraction to a mixed number 7474 STEP 1: Divide the numerator by the denominator. ) 47 4 1 3 STEP 2: Write down the whole number (quotient). 1 quotient 3 remainder Place the remainder over the denominator. STEP 3: 3434 1 This is the required mixed fraction Review

6. CONFIDENTIAL6 Convert Mixed Numbers to Improper fractions STEP 1: Take the mixed number and multiply the denominator by the whole number STEP 2: Then add the numerator to that answer. STEP 4: The denominator just stays the same. STEP 3: Put your new number over the denominator. To convert from a mixed number to an improper fraction, the following steps are to be followed: Review

7. CONFIDENTIAL7 Convert to a mixed number. 3434 2 STEP 1: Take the mixed number and multiply the denominator by the whole number. denominatorwhole number 4 x 2 = 8 Review

8. CONFIDENTIAL8 STEP 3: Put your new number over the denominator. 11 4 The denominator stays the same. Hence, this is the required mixed fraction. Then add the numerator to that answer. STEP 2: 8 + 3 = 11 numerator Review

9. CONFIDENTIAL9 Today we will discuss the relation between Fractions, decimals, percents Fraction: is a number that names part of a whole or part of a group. The numerator (the top) is the PART, the denominator (the bottom) is the WHOLE. Decimal: A number that uses place value and a decimal point to show tenths, hundredths and the thousandths. Percent: is based on the number in terms of 100. "Percent" is actually "per cent", meaning "out of a hundred". Example: 1 = 0.25 = 25% 4 Fraction Decimal Percent

10. CONFIDENTIAL10 Converting Between Fraction to Decimal Divide the denominator into the numerator. STEP 1: Place a decimal point after the number inside the division "box" and attach as many zeros as necessary to handle the division. If the quotient does not come out evenly, follow any rounding instructions. STEP 2: STEP 3: ) 4 1.00 - 8 0.25 20 - 20 00 4 1 ) 1 = 0.25 4 Hence, the value. The given Fraction is 1 4

11. CONFIDENTIAL11 Converting Between Decimal to Percent Move the decimal point two places to the right. attach a percent sign. Multiply the decimal number by 100. STEP 1: STEP 2: 0.25 x 100 0.25 = 25% Hence, the value. The given decimal number is 0.25.

12. CONFIDENTIAL12 STEP 1: STEP 2: Converting Between Percent to Decimal Divide the percentage number by 100. Move the decimal point two places to the left. 25% = 0.25 ) 100 25 0.25 Hence, the value. The given Percentage is 25%.

13. CONFIDENTIAL13 Converting Between Percent to Fraction STEP 1: STEP 2: Place the number in the percent over 100. Reduce. 25% = 25 100 25% = 1 4 Hence, the value. The given Percentage is 25%.

14. CONFIDENTIAL14 Converting Between Fraction to Percent Multiply the fraction by 100. STEP 1: STEP 2: Reduce, and attach a percent sign. 1 x 100 4 1 = 25% 4 Hence, the value. The given Fraction is 1 4

15. CONFIDENTIAL15 Converting Between Decimal to Fraction STEP 1: STEP 2: Count the decimal places of the decimal starting from the decimal point. If there is one decimal place, place the number over 10 and reduce. Or/else If there are two decimal places, place the number over 100 and reduce. 0.25 25 = 1 100 4 Hence, the value. The given decimal number is 0.25.

16. CONFIDENTIAL16 Assignments Convert the following Decimal numbers to Percent: Convert the following Fractions to Decimal : 1) 23 5 2) 19 3 3) 0.65 4) 0.84

17. CONFIDENTIAL17 Convert the following Percent to Decimal: Convert the following Percent to Fraction: : 5) 35%. 6) 75%. 7) 40%. 8) 84%

18. CONFIDENTIAL18 Convert the following Fraction to Percent : Convert the following Decimal to Fraction : 9) 4 5 10) 7 10 11) 0.32 12) 0.27

19. CONFIDENTIAL19 Very Good! Let's Review We learnt the following terms: Fraction: is a number that names part of a whole or part of a group. The numerator (the top) is the PART, the denominator (the bottom) is the WHOLE. Decimal: A number that uses place value and a decimal point to show tenths, hundredths and the thousandths. Percent: is based on the number in terms of 100. "Percent" is actually "per cent", meaning "out of a hundred". Example: 1 = 0.25 = 25% 4 Fraction Decimal Percent

20. CONFIDENTIAL20 Review Converting Between Decimal to Percent Move the decimal point two places to the right. attach a percent sign. Multiply the decimal number by 100. STEP 1: STEP 2: 0.25 x 100 0.25 = 25% Hence, the value. The given decimal number is 0.25.

21. CONFIDENTIAL21 Review STEP 1: STEP 2: Converting Between Percent to Decimal Divide the percentage number by 100. Move the decimal point two places to the left. 25% = 0.25 ) 100 25 0.25 Hence, the value. The given Percentage is 25%.

22. CONFIDENTIAL22 Review Converting Between Percent to Fraction STEP 1: STEP 2: Place the number in the percent over 100. Reduce. 25% = 25 100 25% = 1 4 Hence, the value. The given Percentage is 25%.

23. CONFIDENTIAL23 Review Converting Between Fraction to Percent Multiply the fraction by 100. STEP 1: STEP 2: Reduce, and attach a percent sign. 1 x 100 4 1 = 25% 4 Hence, the value. The given Fraction is 1 4

24. CONFIDENTIAL24 You have done a nice job. See you in the next session.