WRITING FRACTIONS AS DECIMALS AND PERCENTS
Writing Fractions as Decimals and Percents :
In this section, we will learn, how to write a fraction as a decimal and a percent.
We can write a fraction as an equivalent decimal or as an equivalent percent. Equivalent fractions, decimals, and percents all represent equal parts of the same whole.
Writing Fractions as Decimals and Percents - Examples
Example 1 :
96 out of 200 animals treated by a veterinarian are horses.
Write 96/200 as a decimal and as a percent.
Solution :
Step 1 :
Write an equivalent fraction with a denominator of 100.
To write 96/200 as an equivalent fraction with a denominator 100, we have to divide 96 and 200 by 100.
96 / 200 = (96 ÷ 2) / (200 ÷ 2)
96 / 200 = 48 / 100
Step 2 :
In 48/100, since the denominator is 100, 48/100 can be easily converted to decimal.
Because, if we divide a number by 100, in the result there should two digits after the decimal point.
(Because there are two zeros in 100)
So, we have
48 / 100 = 0.48
Step 3 :
Write the percent equivalent.
Percent means per hundred
That is, the given number is compared to hundred.
In 48 / 100, since 48 is compared to 100, we have
48 / 100 = 48%
Example 2 :
1/8 of the animals treated by the veterinarian are dogs.
Write 1/8 as a decimal.
Solution :
Notice that the denominator is not a factor or multiple of 100.
Step 1 :
Use long division to divide the numerator by the denominator.
The decimal equivalent of 1/8 is 0.125.
Step 2 :
Now, let us write the decimal as a percent.
First write the fraction equivalent of the decimal.
In 0.125, since there are three digits after the decimal point, we can write it as a fraction with denominator 1000.
So, we have
0.125 = 125 / 1000
Step 3 :
Write the percent equivalent.
Percent means per hundred
That is, the given number to be written as a fraction with denominator 100.
So, we have to write 125/1000 as an equivalent fraction with denominator 100,
For that, we have to divide 125 and 1000 by 10.
125/1000 = (125 ÷ 10) / (1000 ÷ 10)
125/1000 = 12.5 / 100
125/1000 = 12.5%
The percent equivalent of 1/8 is 12.5%.
After having gone through the stuff given above, we hope that the students would have understood, how to write a fraction as decimal and a percent.
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