Good Afternoon!

1
Good Afternoon!
Today we will be learning about Fractions,
decimals, percents
Lets 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
2
Lets 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
Lets demonstrate this with a model




7 4
3
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
Lets demonstrate this with a model




3 4
1
4
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.
5
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
6
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.
7
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
8
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.
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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
10
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.
11
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.
12
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.
13
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.
14
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.
15
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.
16
Assignments
Convert the following Fractions to Decimal
1) 23 5
2) 19 3
Convert the following Decimal numbers to Percent
4) 0.84
3) 0.65
17
Convert the following Percent to Decimal
6) 75.
5) 35.
Convert the following Percent to Fraction
8) 84
7) 40.
18
Convert the following Fraction to Percent
9) 4 5
10) 7 10
Convert the following Decimal to Fraction
12) 0.27
11) 0.32
19
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
20
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.
21
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.
22
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.
23
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.
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You have done a nice job. See you in the next
session.