Fractions, Decimals, and Percents

Decimals, Fractions and Percentages

Decimals, Fractions and Percentages are just different ways of showing the same value:

Fill in the Blank

Can you tell what number when multiplied to 25 equal to 100?

25 x _______ = 100

From Percent to Decimal

• To convert from percent to decimal divide by 100 and remove the % sign.

• An easy way to divide by 100 is to move the decimal point 2 places to the left:

Open Ended

Is it true 50 x 5 = 100?

Yes or No? Why do you think so? Please share your reason.

From Decimal to Percent

• To convert from decimal to percent multiply by 100%

• An easy way to multiply by 100 is to move the decimal point 2 places to the right:

​Please remember that:

​To easily change fractions to decimals, you must make sure the denominator is

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Example:

​                The denominator is 2. Try and change it to 10.

                How? Let's put it this way: 2 x ____ = 10?

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​Exactly! It's 5!!

That means the denominator must be multiplied by 5.

From Fraction to Percentage

Fill in the Blank

Now you try...

If the denominator is 20, with what number should we

multiply it to make it equal to 100?

From Percentage to Fraction

• To convert a percentage to a fraction, first convert to a decimal (divide by 100),

• Then multiply top and bottom by 10 for every number after the decimal point (10 for 1 number,100 for 2 numbers, etc)

​Check the denominators:

​If you see the denominators are not 10 or 100 or 1000 please change it first.

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​Here are some guidelines for you hopefully it can help you along the way...

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2 x 5 = 10

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5 x 2 = 10

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50 x 2 = 100

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4 x 25 = 100

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2 x 50 = 100

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250 x 4 = 1000

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25 x 4 = 100

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5 x 200 = 1000

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4 x 250 = 1000

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200 x 5 = 1000

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​Multiply the numerators:

​If you have multiplied the denominator, you need to multiply the numerator with the same multiplier.

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​Example 1:

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​Example 2:

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Multiple Choice

Convert the decimal 0.875 to a percent

• 0.875%

• 8.75%

• 87.5%

• 875%

Multiple Choice

$$\frac{5}{25}$$  = $$\frac{?}{100}$$  

• 15

• 10

• 20

• 25

Multiple Choice

Convert the decimal 4.025 to a percent.

• 0.4025%

• 4.025%

• 40.25%

• 402.5%

Multiple Choice

$$\frac{130}{500}$$  = $$\frac{?}{1000}$$  

• 1300

• 260

• 650

• 250

Multiple Choice

Convert 18.75% to a decimal

• 0.001875

• 0.1875

• 0.01875

• 1.875

Multiple Choice

$$\frac{18}{25}$$    =   $$\frac{?}{?}$$  

• $$\frac{72}{100}$$  

• $$\frac{36}{100}$$  

• $$\frac{18}{100}$$  

• $$\frac{90}{100}$$  

Multiple Choice

$$Express\ \frac{5}{8}\ as\ a\ percent$$  

• 58%

• 625%

• 62.5%

• 60.25%

​How to change fraction to decimal?

Put a decimal point at the back of the numerator.

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​Example 1:

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If the denominator is 100, jump the decimal point 2 steps to the front.

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If there is no number in front of where the

decimal point stops, just put zero.

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​0.27

Multiple Choice

$$Express\ \frac{17}{25}\ as\ a\ percent$$  

• 34%

• 68%

• 51%

• 85%

​How to change fraction to decimal?

Put a decimal point at the back of the numerator.

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​Example 2:

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If the denominator is 1000, jump the decimal point 3 steps to the front.

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​0.478

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If there is no number in front of where the

decimal point stops, just put zero.

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Multiple Choice

Express 5% as a fraction

• $$\frac{1}{5}$$

• $$\frac{1}{20}$$

• $$\frac{2}{5}$$

• $$\frac{1}{2}$$

​How to change fraction to decimal?

Put a decimal point at the back of the numerator.

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​Example 3:

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If the denominator is 1000, jump the decimal point 3 steps to the front.

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​0.093

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After the 3rd jump there's a small gap between the decimal point and digit 9 so for this, just put zero there.

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Multiple Choice

Express 32% as a fraction

• $$\frac{3}{10}$$

• $$\frac{17}{50}$$

• $$\frac{9}{25}$$

• $$\frac{8}{25}$$

Fill in the Blank

Change      $$\frac{29}{100}$$     to decimal.

Multiple Choice

Convert 3.5% to a decimal

• 0.0035

• 0.035

• 0.35

• 3.5

Fill in the Blank

Change      $$\frac{24}{25}$$     to decimal.

Fill in the Blank

Change      $$\frac{29}{100}$$     to decimal.

​How to change mixed number to decimal?

Put a decimal point at the back of the numerator.

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​Example:

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If the denominator is 1000, jump the decimal point 3 steps to the front.

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Write the whole number in front

of the decimal point.

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​2.132

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Test Time

There will be 5 questions. Please answer ALL questions.

Fill in the Blank

Change the fraction to decimal.

$$\frac{7}{20\ }$$  

Fill in the Blank

Change the fraction to decimal.

$$\frac{2}{4\ }$$  

Fill in the Blank

Change the fraction to decimal.

$$2\frac{25}{50}$$  

Fill in the Blank

Change the fraction to decimal.

$$6\frac{17}{200}$$  

Open Ended

HOT Question:

If I have 2.563 as my decimal number, what do you think is the fraction?  

and why? Please share your thoughts.

​Alhamdulillah... we have come to the end of the lesson. Hope this have help you to understand the lesson better. Insya Allah we will meet again in the next lessons.

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Till then.. please stay safe and take care!

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