
Convert into a percentage and a fraction.
Answer
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Hint:
To convert a number to a percentage we express it as a fraction of 100, and a fraction represents a part of a whole.
Complete step by step solution:
The given number is expressed in the decimal form.
First, convert the number to a fraction. A fraction is the expression of a part of a whole thing. The following fraction represents that is a part of the whole system .
So the given number:
[as there are two digits after the decimal point hence the decimal point can be removed by dividing the number with 100].
Reduce the fraction to the simplest form by removing the common factors:
.
To convert the number to a percentage it needs to be expressed as a fraction of 100. That is the denominator of the fraction should be 100, as percentage means out of 100. So if we can express any number in the fraction form as then it is equal to .
.
Hence, can be expressed as a fraction as and as a percentage as .
Additional information:
To convert a given decimal to a fraction, the number(without the decimal point) needs to be divided by a number whose first digit is followed by the number of zeroes equal to the number of digits after the decimal point in the original number. For example to convert to a fraction we need to divide the number by (it has zeroes after the 1 as there were four digits after the decimal point in the original number).
Note:
Any fraction has two parts: a numerator and a denominator. That is for any fraction the numerator is and the denominator is . For example for the fraction , the numerator is and the denominator is .
To convert a number to a percentage we express it as a fraction of 100, and a fraction represents a part of a whole.
Complete step by step solution:
The given number
First, convert the number to a fraction. A fraction is the expression of a part of a whole thing. The following fraction
So the given number:
Reduce the fraction to the simplest form by removing the common factors:
To convert the number to a percentage it needs to be expressed as a fraction of 100. That is the denominator of the fraction should be 100, as percentage means out of 100. So if we can express any number in the fraction form as
Hence,
Additional information:
To convert a given decimal to a fraction, the number(without the decimal point) needs to be divided by a number whose first digit is
Note:
Any fraction has two parts: a numerator and a denominator. That is for any fraction
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