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Converting Fraction, Decimal, Percent
By: Ethan Liu
Mrs. Kalich’ s Accel Math 6/7
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Decimal-Fraction, Fraction-Decimal Conversions
How to convert Decimal -> Fraction Format
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Depending on how many numbers to the right of the decimal point
For example 0.1 means 1 tenth, 0.01 means 1 hundredth, 0.001 means 1 thousandth.
Let’s use a decimal number like 2.75. This is pretty easy… 2.75 is also “2 and 75 hundredths”.
So the fractional format is 2 and 75 divided by 100.
This will give you the Decimal-Fraction format 2 75/100, you can also simplify as 2¾!
How to convert Fraction -> Decimal Format
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Have to do the division first, then take the result to convert.
Let’s use a random fraction like 285/1000. The fraction is also called “285 Thousandths”.
Add a decimal point “.”. Then put a 0 in front of the decimal. You should know that “thousandths” means 3
numbers to the right of the decimal.
Lastly, put a 285 to the right of 0 and the decimal which is 0.285.
The fraction-decimal format is 0.285!
TRY THESE! (Decimal-Fraction, Fraction-Decimal) Exercise
3.895
BE HAPPY WITH DECIMALS, IT IS A PERCENTAGE OF YOUR FRACTION!
A:3CLICK
TWICE!
895/1000
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8.999
8
999/1000
A: CLICK
TWICE!
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753/1000
A:0.753
CLICK TWICE!
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MINI CHALLENGE! 25/10
A:2.5
CLICK TWICE!
Percent-Decimal, Decimal-Percent Conversions
How to convert Percent -> Decimal Format
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First, “%” represents one hundredths, 1/100.
So, decimal format of 1% is 0.01, which means you divide 1 by 100. Same as moving decimal 2
times to the left of the number.
To convert a percentage like 479% to a decimal.
First, get rid of the “%” and then move the decimal 2 times to the “left”
4.79 is your final conversion!
How to convert Decimal -> Percent Format
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First, move decimal 2 times to the “right” of the number.
Then, put the “%” on the back of the number.
Choose a random decimal like 3.14 (#Pi my favorite number)
First, move the decimal 2 times to the “right”, becomes 314.
Then, add “%” on the back of the number, so the answer is 314%!
TRY THESE! (Percent-Decimal, Decimal-Percent) Exercise
938%
DON’T BE AFRAID OF WORK, THE WORK IS AFRAID OF YOU! JUST DO IT!!!!!
9.38
A:
CLICK TWICE!
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7983%
A:
CLICK TWICE!
79.83
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3.47
A:
347%
CLICK TWICE!
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25
DON’T GET TRICKED!
2,500%
A: CLICK TWICE!
Fraction-Percent, Percent-Fraction Conversions
How to convert Fraction -> Percent Format
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“%” is hundredths. All you need to do is multiply the fraction by 100.
Then add a “%” at the end of the product.
Choose a random fraction like 7/10.
Multiply, 7/10 by 100. Then add a “%” at the end of the product.
The final conversion is 70%!
How to convert Percent -> Fraction Format
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First, get rid of “%”. Move the decimal point 2 times to the right or the number.
Then convert the decimal number(or number) to fraction by the decimal to fraction conversion rule
Now, choose a random percent like 747% (#Airplane)
Get rid of “%”, then divide 747 by 100, will be a decimal number of 7.47.
Converting 7.47 by the decimal to fraction rule is 7 47/100!
TRY THESE! (Fraction-Percent, Percent-Fraction) Exercise
493%
DON’T GIVE UP! THE MATH POWER IS IN YOU!
93/100
A:4CLICK
TWICE!
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475%
_______________________________________________________________________________6
A:
84CLICK
¾
TWICE!
347/1000
A:
634.7
CLICK TWICE!
_______________________________________________________________________________9
5 3489/10000
WELCOME TO THE BOSS BATTLE!
9534.89%
A:
CLICK TWICE!
Hope You Learned Something!
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