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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
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