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CONFIDENTIAL 1
Good Afternoon!Today we will be learning about
Add & subtract with like denominators
Let’s warm up :
1) Convert 45% to Decimal.
2) Convert 35% to Fraction.
3) Convert to Percent.35
4) Convert 0.65 to Percent.
5) Convert to Decimal.75
1) 0.45
2) 7 20
3) 60%
4) 65%
5) 1.40
CONFIDENTIAL 2
Let’s review what we did in the last session
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 3
ReviewConverting 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 4
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 5
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 6
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 7
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 8
Today we will seeAdd & subtract with like denominators
COMMON DENOMINATOR : It is the same denominator shared by two or more fractions.
Example:
The fractions and have a common denominator.35
15
SIMPLEST FORM : A fraction in which the numerator and denominator have no common factor greater than
1.Example:
The fractions is in the simplest form.35
CONFIDENTIAL 9
Adding Fractions with Like Denominators
Like fractions are fractions with the same denominator.
To add fractions with same denominator, follow the following steps:
1) When the denominators are the same add the numerators together.
2) Place the sum over the like denominator.
3) Reduce to lowest terms.
That is:addend + addend = sum
CONFIDENTIAL 10
Add fractions and . 34
24
We can show this with the help of model.
34
24+
Count the number total number of boxes that represent the denominator.
Draw the model representing the sum.
54
Hence, the sum is .
54
CONFIDENTIAL 11
Add fractions and . 34
24
We can show this on paper pencil.
Add the numerators.
STEP 1:
STEP 2:
Place the sum over the like denominator.
STEP 3:
Reduce to lowest terms.
3 + 24 4
3 + 24
54
CONFIDENTIAL 12
Subtracting Fractions with Like Denominators
To Subtract fractions with same denominator, follow the following steps:
1) When the denominators are the same subtract the subtrahend numerator from the minuend
numerator.
2) Place the difference over the like denominator.
3) Reduce to lowest terms.
That is: minuend - subtrahend = difference
CONFIDENTIAL 13
Subtract fractions from .
14
34
We can show this with the help of model.
34
14-
Count the boxes and subtract the number of subtrahend boxes from the number of minuend boxes .
Draw the model representing the sum.
24
Hence, the sum is , that is, reduced to the lowest terms.
24
12
CONFIDENTIAL 14
Subtract fractions from .
14
34
We can show this on paper pencil.
Subtract the numerators.
STEP 1:
STEP 2:
Place the sum over the like denominator.
STEP 3:
Reduce to lowest terms.
3 - 14 4
3 – 1 = 2 4 4
12
CONFIDENTIAL 15
BREAK
CONFIDENTIAL 16
GAME
Click on the link below for some exciting puzzle
http://http://www.thekidzpage.com/onlinejigsawpuzzles/jigsaw-puzzles/12-piece-jigsaw/03-28-06-bunnywithcarrot.html
CONFIDENTIAL 17
Assignments
Add:
1) 5 + 2 9 9
2) 5 + 1 12 12
3) 16 + 5 7 7
4) 5 + 1 8 8
5) 4 + 2 5 5
1) 7 9
2) 1 2
3) 3 4) 3 4
5) 6 5
CONFIDENTIAL 18
Subtract:
6) 5 - 2 9 9
7) 5 - 1 12 12
8) 16 - 5 7 7
9) 5 - 1 8 8
10) 4 - 2 5 5
6) 1 3
7) 1 3
8) 11 7
9) 1 2
10) 2 5
CONFIDENTIAL 19
Very Good!Let's Review
We learnt the following terms:
COMMON DENOMINATOR : It is the same denominator shared by two or more fractions.
Example:
The fractions and have a common denominator.35
15
SIMPLEST FORM : A fraction in which the numerator and denominator have no common factor greater than
1.Example:
The fractions is in the simplest form.35
CONFIDENTIAL 20
Add fractions and . 34
24
We can show this with the help of model.
34
24+
Count the number total number of boxes that represent the denominator.
Draw the model representing the sum.
54
Hence, the sum is .
54
Review
CONFIDENTIAL 21
Review
Add fractions and . 34
24
We can show this on paper pencil.
Add the numerators.
STEP 1:
STEP 2:
Place the sum over the like denominator.
STEP 3:
Reduce to lowest terms.
3 + 24 4
3 + 24
54
CONFIDENTIAL 22
Review
Subtract fractions from .
14
34
We can show this with the help of model.
34
14-
Count the boxes and subtract the number of subtrahend boxes from the number of minuend boxes .
Draw the model representing the sum.
24
Hence, the sum is , that is, reduced to the lowest terms.
24
12
CONFIDENTIAL 23
Review
Subtract fractions from .
14
34
We can show this on paper pencil.
Subtract the numerators.
STEP 1:
STEP 2:
Place the sum over the like denominator.
STEP 3:
Reduce to lowest terms.
3 - 14 4
3 – 1 = 2 4 4
12
CONFIDENTIAL 24
You have done a nice job.See you in the next session.
