Fraction and Decimal

Decimals, Fractions and Percentages

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

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

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

• $$\frac{3}{10}$$

• $$\frac{17}{50}$$

• $$\frac{9}{25}$$

• $$\frac{8}{25}$$

Multiple Choice

Convert 3.5% to a decimal

• 0.0035

• 0.035

• 0.35

• 3.5

​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.

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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