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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. 2) 1 9. 1) 5 12. 3. 1.
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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 2) 1 9 1) 5 12 3 1 Convert the following Mixed Numbers to Improper fractions : 3) 3 5 3) 38 5 4) 4 9 4) 22 9 7 2 CONFIDENTIAL
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: 7 4 Let’s demonstrate this with a model: 7 4 CONFIDENTIAL
Review MIXED FRACTIONS : A mixed number has a part that is a whole number and a part that is a Proper fraction. Example: 3 4 1 Let’s demonstrate this with a model: 3 4 1 CONFIDENTIAL
Review Convert Improper fractions to Mixed Numbers You can convert an improper fraction into a mixed fraction and vice-versa to show the same amount. To convert from an improper fraction to a mixed number, the following steps are to be followed: STEP 1: Divide the numerator by the denominator. STEP 2: Write down the whole number (quotient). STEP 3: Place the remainder over the denominator. CONFIDENTIAL
Review 7 4 Change fraction to a mixed number 1 STEP 1: ) Divide the numerator by the denominator. 4 7 4 3 STEP 2: 1 quotient Write down the whole number (quotient). 3 remainder STEP 3: Place the remainder over the denominator. 3 4 1 This is the required mixed fraction CONFIDENTIAL
Review Convert Mixed Numbers to Improper fractions To convert from a mixed number to an improper fraction, the following steps are to be followed: STEP 1: Take the mixed number and multiply the denominator by the whole number STEP 2: Then add the numerator to that answer. STEP 3: Put your new number over the denominator. STEP 4: The denominator just stays the same. CONFIDENTIAL
Review 3 4 2 Convert to a mixed number. STEP 1: Take the mixed number and multiply the denominator by the whole number. 4 x 2 = 8 denominator whole number CONFIDENTIAL
Review STEP 2: 8 + 3 = 11 Then add the numerator to that answer. numerator STEP 3: 11 4 Put your new number over the denominator. The denominator stays the same. Hence, this is the required mixed fraction. CONFIDENTIAL
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 Percent Decimal CONFIDENTIAL
Converting Between Fraction to Decimal The given Fraction is 1 4 STEP 1: ) Divide the denominator into the numerator. 1 4 STEP 2: 0.25 ) Place a decimal point after the number inside the division "box" and attach as many zeros as necessary to handle the division. 1.00 4 - 8 20 - 20 00 STEP 3: 1 = 0.25 4 If the quotient does not come out evenly, follow any rounding instructions. Hence, the value. CONFIDENTIAL
Converting Between Decimal to Percent The given decimal number is 0.25. STEP 1: Multiply the decimal number by 100. 0.25 x 100 STEP 2: Move the decimal point two places to the right. attach a percent sign. 0.25 = 25% Hence, the value. CONFIDENTIAL
Converting Between Percent to Decimal The given Percentage is 25%. STEP 1: 0.25 ) Divide the percentage number by 100. 25 100 STEP 2: 25% = 0.25 Move the decimal point two places to the left. Hence, the value. CONFIDENTIAL
Converting Between Percent to Fraction The given Percentage is 25%. STEP 1: 25% = 25 100 Place the number in the percent over 100. STEP 2: 25% = 1 4 Reduce. Hence, the value. CONFIDENTIAL
Converting Between Fraction to Percent The given Fraction is 1 4 STEP 1: 1 x 100 4 Multiply the fraction by 100. STEP 2: 1 = 25% 4 Reduce, and attach a percent sign. Hence, the value. CONFIDENTIAL
Converting Between Decimal to Fraction The given decimal number is 0.25. STEP 1: Count the decimal places of the decimal starting from the decimal point. 0.25 STEP 2: 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. 25 = 1 100 4 Hence, the value. CONFIDENTIAL
BREAK CONFIDENTIAL
GAME Click on the link below for some exciting puzzle http://www.thekidzpage.com/onlinejigsawpuzzles/jigsaw-puzzles/12-piece-jigsaw/05-04-06-kitten.html CONFIDENTIAL
Assignments Convert the following Fractions to Decimal : 1) 4.60 1) 23 5 2) 19 3 2) 6.33… Convert the following Decimal numbers to Percent: 3) 65%. 4) 0.84 4) 84%. 3) 0.65 CONFIDENTIAL
Convert the following Percent to Decimal: 6) 75%. 5) 35%. 5) 0.35 6) 0.75 Convert the following Percent to Fraction: 7) 2 5 8) 21 25 8) 84% 7) 40%. CONFIDENTIAL
Convert the following Fraction to Percent : 9) 80%. 9) 4 5 10) 7 10 10) 70%. Convert the following Decimal to Fraction : 11) 8 25 12) 27 100 12) 0.27 11) 0.32 CONFIDENTIAL
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 Percent Decimal CONFIDENTIAL
Review Converting Between Decimal to Percent The given decimal number is 0.25. STEP 1: Multiply the decimal number by 100. 0.25 x 100 STEP 2: Move the decimal point two places to the right. attach a percent sign. 0.25 = 25% Hence, the value. CONFIDENTIAL
Review Converting Between Percent to Decimal The given Percentage is 25%. STEP 1: 0.25 ) Divide the percentage number by 100. 25 100 STEP 2: 25% = 0.25 Move the decimal point two places to the left. Hence, the value. CONFIDENTIAL
Review Converting Between Percent to Fraction The given Percentage is 25%. STEP 1: 25% = 25 100 Place the number in the percent over 100. STEP 2: 25% = 1 4 Reduce. Hence, the value. CONFIDENTIAL
Review Converting Between Fraction to Percent The given Fraction is 1 4 STEP 1: 1 x 100 4 Multiply the fraction by 100. STEP 2: 1 = 25% 4 Reduce, and attach a percent sign. Hence, the value. CONFIDENTIAL
You have done a nice job. See you in the next session. CONFIDENTIAL