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

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

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

CONFIDENTIAL 17

Convert the following Percent to Decimal:

Convert the following Percent to Fraction: :

5) 35%. 6) 75%.

7) 40%. 8) 84%

CONFIDENTIAL 18

Convert the following Fraction to Percent :

Convert the following Decimal to Fraction :

9) 4 5

10) 7 10

11) 0.32 12) 0.27

CONFIDENTIAL 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% 4Fraction

Decimal

Percent

CONFIDENTIAL 20

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 21

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 22

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 23

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 24

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