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Fractions & Percent

Grade 6

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1) Write the equivalent percent of 0.23

2) Convert 87% to decimal

3) Write the fraction of 150%

4) Convert fraction to percent: ¾

5) During the X’mas sale a book shop reduced the prices of its

cartoon books from $1200 to $800.By what percent was the

price decreased?

Warm up

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Convert from Percent to Decimal:

To convert a percent to decimal, divide by 100. It means moving the decimal point two places to the left.

Example : 56%

56% = = 0.56

56% is equivalent to the decimal 0.56.

56100

Lets review what we have learned in the last lesson

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Convert from Decimal to PercentTo convert a decimal to a percent, multiplyby 100. It means moving the decimal pointtwo places to the right.

Example: 0.34

0.34 x 100 = 34 %0.34 is equivalent to 34%

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Percent increase or decrease

To find percent increase or decrease, use the formula

= % increase or decrease

Amount of increase or decreaseOriginal amount

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Let us start!

What is a Fraction? A fraction is a number that expresses part

of a whole. Fractions are written in the form or a/b,

where a and b are whole numbers, and the number b is not equal to 0.

The number a is called the numerator, and the number b is called the denominator.

b

a

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½, ¾, 4/5

The fraction 5/6 represents the shaded region of the square below. There are six equal parts in square and only five parts are shaded.

Example of fractions

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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: 60 %, 75 %, 90 %

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Converting fractions to percent

For converting fractions to percent follow the following steps:

Divide the numerator of the fraction by its denominator

Multiply the result 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 fraction ¾ to percent. ¾ = 0.75 (Divide 3 by 4)

Now multiply 0.75 by 100, we will get

0.75 x 100 = 75 So, ¾ = 75%

Divide 3 by 4 and Multiply by 100. Put % at the end.

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Example

Convert the fraction 7/8 to percent. 7/8 = 0.875 (Divide 7 by 8) Now multiply 0.875 by 100, we will get 0.875 x 100 = 87.5 So, 7/8 = 87.5%

Divide 7 by 8 and Multiply by 100. Put % at the end.

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Converting percent to fraction

For converting percent to fractions follow the

following steps:

First remove the Percent sign

Make a fraction with the percent as the numerator and 100 as the denominator

Reduce/simplify the fraction

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Example

Convert the 60 % to fraction. 60 (Remove the % sign) Now divide 60 by 100 and then

simplify, we will get 60/ 100 = 3/5 So, 60 % = 3/5

Remove % sign and divide by 100.

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Example

Convert the 85 % to fraction.

85 (Remove the % sign)

Now divide 60 by 100 and then simplify, we will get

85/ 100 = 17/20

So, 85 % = 17/20

Remove % sign and divide by 100.

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Let’s take a break!

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Title: Format: WebEx Web BrowserDouble-click to edit

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Your Turn

Convert the following fractions to percent:

1. 4/5 2. 19/20 3. 2/5 4. 8/255. 55/100

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Your Turn

Convert the following percent to fractions:

6. 3.5 %7. 30 %8. 45 % 9. 85 % 10. 70%

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Q1. Order each set from greatest to least. 15 %, ½, 1/3, 35%

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Q2. The graph below shows the collection of Ted’s videos.

a) How many percent of total comedy videos he has?

b) How many percent of drama and action videos he has?

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Q3. Order each set from least to greatest. 5 %, 1/4, 32%, 1/8

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Let Us Review 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.

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Let Us Review 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.

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Great Job today!

Remember to do the worksheets!!!