CONFIDENTIAL 1 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 7 2 1) 5 12 1 2) 1 9 3 3) 38 5 4) 22 9
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CONFIDENTIAL 1
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
7 2
1) 5 12
12) 1 9
3
3) 38 5
4) 22 9
CONFIDENTIAL 2
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: 74
Let’s demonstrate this with a model:
74
CONFIDENTIAL 3
MIXED FRACTIONS : A mixed number has a part that is a whole number and a part that is a Proper
fraction.
34
1
Example:
Let’s demonstrate this with a model:
34
1
Review
CONFIDENTIAL 4
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
CONFIDENTIAL 5
Change fraction to a mixed number74
STEP 1:Divide the numerator by the denominator.
) 4 74
1
3
STEP 2:
Write down the whole number (quotient).
1 quotient
3 remainder
Place the remainder over the denominator.
STEP 3:
34
1
This is the required mixed fraction
Review
CONFIDENTIAL 6
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
CONFIDENTIAL 7
Convert to a mixed number. 34
2
STEP 1:
Take the mixed number and multiply the denominator by the whole number.
denominator
whole number
4 x 2 = 8
Review
CONFIDENTIAL 8
STEP 3:
Put your new number over the denominator.
114
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
CONFIDENTIAL 9
Today we will discuss the relation betweenFractions, 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% 4Fraction
Decimal
Percent
CONFIDENTIAL 10
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 = 0.254
Hence, the value.
The given Fraction is 1 4
CONFIDENTIAL 11
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.
CONFIDENTIAL 12
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%.
CONFIDENTIAL 13
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%.
CONFIDENTIAL 14
Converting Between Fraction to Percent
Multiply the fraction by 100.
STEP 1:
STEP 2:
Reduce, and attach a percent sign.
1 x 1004
1 = 25%4
Hence, the value.
The given Fraction is 1 4
CONFIDENTIAL 15
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/elseIf there are two decimal places, place the number over 100 and
reduce.
0.25
25 = 1100 4Hence, the value.
The given decimal number is 0.25.
CONFIDENTIAL 16
BREAK
CONFIDENTIAL 17
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 18
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
1) 4.60
2) 6.33…
3) 65%. 4) 84%.
CONFIDENTIAL 19
Convert the following Percent to Decimal:
Convert the following Percent to Fraction:
5) 35%. 6) 75%.
7) 40%. 8) 84%7) 2 5
8) 21 25
5) 0.35
6) 0.75
CONFIDENTIAL 20
Convert the following Fraction to Percent :
Convert the following Decimal to Fraction :
9) 4 5
10) 7 10
11) 0.32 12) 0.2711) 8 25
12) 27 100
9) 80%. 10) 70%.
CONFIDENTIAL 21
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% 4Fraction
Decimal
Percent
CONFIDENTIAL 22
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.
CONFIDENTIAL 23
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%.
CONFIDENTIAL 24
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%.
CONFIDENTIAL 25
Review
Converting Between Fraction to Percent
Multiply the fraction by 100.
STEP 1:
STEP 2:
Reduce, and attach a percent sign.
1 x 1004
1 = 25%4
Hence, the value.
The given Fraction is 1 4
CONFIDENTIAL 26
You have done a nice job.See you in the next session.
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