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Convert the following fractions to percent:

1. 3/8 = 37.5%2. 7/12 = 58.33%3. 1/5 = 20%Convert the following percent to fractions:

4.70 % = 7/105.40 % = 2/5

Warm up

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• Fractions are written in the form a/b, where b is not 0

• The number a is called the

numerator, and the number b is called the denominator

Percent means parts per hundred We use the symbol % for percent.

Lets recap what we learned in the last lesson

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• For converting fractions to percent • Divide the numerator of the fraction by

its denominator. • Multiply the result by 100 and put the %

sign.

• For converting percent to fractions • First remove the Percent sign. • Make a fraction with the percent as the

numerator and 100 as the denominator and then simplify the fraction.

Recap

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• The decimal point separates the whole units on the left from the decimal units on the right.

• The numbers on the left side represent whole num

bers such as ones, tens, hundreds, and thousands.

• The numbers on the right side of the point are the decimal values. Those numbers represent values

called tenths, hundredths, thousandths, and so on.

What is a Decimal?

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Example of a Decimal Number

The naming difference is in the "th ". Tenths are the closest value to the point . There are no "one ths”

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PercentWhat is a percent?

• The word percent comes from the Latin phrase per centum, which means per hundred.

• A percent is a ratio whose second term is 100.• Percent means parts per hundred. • We use the symbol % for percent.

• Example: 38.9 %, 64 %, 80%

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Converting decimals to percent

For converting decimals to percent follow the following steps:

• Multiply the decimal number by 100 (for that move the decimal point two places to the right)

• Put the % sign at the end of the result

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Example

• Convert the decimal 0.75 to percent Multiply 0.75 by 100, we will get 0.75 x 100 = 75 So, 0.75 = 75%

Multiply by 100. Put % at the end.

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Example

• Convert the decimal 0.875 to percent Multiply 0.875 by 100, we will get 0.875 x 100 = 87.5 So, 0.875 = 87.5%

Multiply by 100. Put % at the end.

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Converting percent to decimal

For converting percent to decimals

follow the following steps:

• First remove the Percent sign. • Divide by 100 (for that move the

decimal point two places to the left).

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Example• Convert the 60 % to decimal 60 (Remove the % sign) Now divide 60 by 100 and then simplify, we will get 60/ 100 = 0.60 (move the decimal point two places to the left) So, 60 % = 0.6

Remove % sign and divide by 100

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Example

• Convert the 85 % to decimal 85 (Remove the % sign) Now divide 60 by 100 and then simplify, we will get 85/ 100 = 0.85 (move the decimal point two places to the left) So, 85 % = 0.85 Remove % sign and

divide by 100.

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Your TurnConvert the following decimals to

percent:

1. 0.8 = 80%2. 0.95 = 95%3. 0.4 = 40%4. 0.32 = 32%5. 0.55 = 55%

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Your TurnConvert the following percent to

decimals:

6. 3.5 % = 0.0357. 30 % = 0.38. 45 % = 0.459. 85 % = 0.8510.70% = 0.7

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Let us play a game

Click here to play

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1) In Pakistan, 41% of the people in 1997 was under 51 years of age. Write 41% as a decimal.

0.41

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Q2. The graph below shows the expenditure of Jane’s family at Dream World.

1) Use a decimal to represent the part of money spend on rides and gifts?

2) Use a decimal to represent the part of money spend on games and food?

1) Part of money spend on rides and gifts = 25% + 15% =40% Convert 40% to decimal 40% 40/100 = 0.4 Answer: 0.4

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2) Part of money spend on games and food

= 20% + 40% =60% Convert 60% to

decimal 60% 60/100 = 0.6 Answer: 0.6

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Q3. Order each set from least to greatest. 10%, 32%, 0.21, 0.15

Convert each one of the set either to percent or decimal.

Let us convert each to percent 0.15 0.15 × 100 = 15% 0.21 0.21 × 100 = 21% Now arrange all from least to greatest. 10 %, 0.15, 0.21, 32%

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Let’s Review what we have learned today

• The decimal point separates the whole units on the left from the decimal units on the right. 

• The numbers on the left side represent whole numbe

rs.• The numbers on the right side of the point are the de

cimal values.

• The naming difference is in the "th“

• Percent means parts per hundred. • we use the symbol % for percent.

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• For converting decimals to percent •Multiply the decimal by 100 and put the %

sign

• For converting percent to decimals •First remove the Percent sign. •Divide by 100

Recap

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You did Great Today

Keep Practicing