Fractions Continues

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Welcome to class! 

In today’s class, we will be talking more about fractions. Enjoy the class!

Fractions

Conversion of fractions to percentages

To convert a fraction to a percent, first, divide the numerator by the denominator. Then multiply the decimal by 100. That is, the fraction 48 can be converted to a decimal by dividing 4 by 8. It can be converted to percent by multiplying the decimal by 100.

Remember that a percent is just a special way of expressing a fraction as a number out of 100100.

To convert a fraction to a percent, first divide the numerator by the denominator. Then multiply the decimal by 100/100.

That is, the fraction 4/8 can be converted to decimal by dividing 4 by 8 . It can be converted to percent by multiplying the decimal by 100/100.

Example 1:

Write 2/25 as a percent.

Since 25 is larger than 2, to divide, we must add a decimal point and some zeroes after the 22.  We may not know how many zeroes to add but it doesn’t matter.  If we add too many, we can erase the extras; if we don’t add enough, we can add more.

So,

2/25 = 0.08 × 100, 0.08×100=8

Therefore, the fraction 225 is equivalent to 8%

Look at the image below, it shows that the fraction 225 is same as 8 out of 100, that is 8%.

Example 2:

Write 7/4 as a percent.

Divide 7 by 4.

So,

7/4 = 1.75×100, 1.75×100=175

Therefore, the fraction 7/4 is equivalent to 175%

Example 3:

Write 1/8 as a percent.

Divide 1 by.

So,

1/8=0.1250, 125×100=12.518 = 12.5

Therefore, the fraction 1/8 is equivalent to 12.5%.

Conversion of percentages to fractions

To convert a Percent to a Fraction, follow these steps:

• Step 1: Write down the percent divided by 100 like this: percent 100
• Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. (For example, if there is one number after the decimal, then use 10, if there are two then use 100, etc.)
• Step 3: Simplify (or reduce) the fraction

Example 1:

Convert 11% to a fraction

Step 1: Write down:

11/100

Step 2: A percent is a whole number, go straight to step 3.

Step 3: The fraction cannot be simplified further.

Answer = 11100

Example 2:

Convert 75% to a fraction

Step 1: Write down:

75/100

Step 2: A percent is a whole number, go straight to step 3.

Step 3: Simplify the fraction (this took me two steps, you may be able to do it one!):

75/100	÷5 =	15/20	÷ 5  =	3/4

Answer = 3/4

Note: 75/100 is called a decimal fraction and 34 is called a common fraction!

Example 3:

Convert 62.5% to a fraction

Step 1: Write down:

62.5/100

Step 2: Multiply both top and bottom by 10 (because there is 1 digit after the decimal place)

62.5/100	× 10 =	625/1000

(See how this neatly makes the top a whole number?)

Step 3: Simplify the fraction (this took me two steps, you may be able to do it one!) :

625/1000	÷ 25  =	25/40	÷ 5 =	5/8

Answer = 5/8

Example 4:

Convert 150% to a fraction

Step 1: Write down:

150/100

Step 2: The percent is a whole number, go straight to step 3.

Step 3: Simplify the fraction (I did it one step):

150/100	÷ 50 =	3/2

Answer = 3/2

 

In our next class, we will be talking more about Fractions.  We hope you enjoyed the class.

Should you have any further question, feel free to ask in the comment section below and trust us to respond as soon as possible.

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