confidential 1 fractions & percent grade 6. confidential2 1) write the equivalent percent of...
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Confidential 1
Fractions & Percent
Grade 6
Confidential 2
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!!!