what is the mathematical rule for converting a percent to a fraction

Percent to Fraction

Pct to fraction conversion is needed to make use of the value of percentage in a calculation. In any calculation, the pct value has to be inverse in a number in fractional course by removing the percent symbol and dividing information technology by 100. So, x percent to fraction is x/100. For example, 50% is equivalent to l/100 which can be reduced to 1/2.

1.	What is Percentage to Fraction?
2.	How to Convert Percent to Fraction?
iii.	Percent to Fraction Conversions
4.	Per centum to Fraction Conversion Table
5.	FAQs on Percentage to Fraction

What is Per centum to Fraction?

Percent ways per hundred or for every hundred. We correspond it equally %. A per centum is simple to sympathise equally it is on a scale of i to 100. The percent to fraction is the conversion of percentage values to a fraction. As per the percent to fraction steps, the percentage tin be converted into a fraction by removing the % symbol and then writing the value in the form of a fraction with a 100 in the denominator. A pct value of 21% is equal to a fraction of 21/100. Whatever percentage is piece of cake to be converted to a fraction and vice versa.

How to Convert Percent to Fraction?

In that location are three simple steps to convert percent to fraction. Permit us await at these iii steps below.

Footstep 1: Drib the pct symbol %.
Step 2: Divide it past 100.
Footstep 3: Reduce the fraction so obtained.

Case: Mia has 20 items on her shopping list. She checks with her list and finds that she has completed twoscore% of her shopping. Can you say how many more than items she has to purchase? She has done 40% of her shopping which is ii/5 of xx items. 2/v × 20 = 8. Therefore, the number of items she has to still buy is 20 - 8 = 12.

Per centum to Fraction Conversions

The conversion of a percentage to a fraction is very unproblematic and user-friendly. Further, information technology depends on the numerical value of the percentage. The numeric value of the percentage could be a whole number, a fraction, or a decimal. In all the cases the percentage symbol is dropped and the numeric value is divided by the number 100. Let the states now look at the following conversions from one class to another grade.

Whole Number Percent to Fraction

To convert the whole number percent to a fraction, the following steps can be used:

Footstep 1: Remove the percent symbol and divide it by 100.
Step 2: Reduce the fraction with 100 as the denominator, into a simple fraction.

Permit us await at a elementary instance to understand more. If there are 45 girls out of 100 students in the class, nosotros mean 45% of the students are girls. And so, 45%= 45/100 = 9/20.

Mixed Number Percent to Fraction

To convert mixed number percent to fraction, follow the steps given beneath. Consider $12 \dfrac{1}{2}$%.

Stride i: Convert it into an improper fraction. $12 \dfrac{i}{2}$% = 25/2 %.
Step 2: Drop the percent symbol %, multiplying by one/100. So, 25/ii % = 25/2 × one/100 = 25/200.
Step 3: Reduce it to the lowest grade, i.east. 25/200 = one/8.

Converting Decimal Percent to Fraction

To convert decimal percent to fraction, follow the steps given below. Consider the pct value of 7.5%.

Step ane: Drib the % symbol and divide it by 100. So, 7.5% = 7.5/100.
Step 2: Drib the decimal bespeak of the numerator. Multiply both numerator and denominator by ten. (7.five × 10)/(100 × 10) = 75/1000.
Step 3: Reduce this fraction to its everyman form past finding the GCF of the numerator and denominator. (75 ÷ 25)/(1000 ÷ 25) = three/forty.

Given below is a uncomplicated percent to fraction conversion table that shows all forms of conversions written above.

Percent	Fraction
v%	5/100 = 1/20
0.5%	5/1000 = 1/200
$5 \frac{ane}{ii}$%	11/200

Percent to Fraction Conversion Table

Percent to fraction conversion is very helpful in calculations. The process to convert a percent to a fraction is to remove the percent symbol and divide the number by 100. The numerical value is in the numerator and the number 100 is in the denominator and it forms a fraction. Further, reduce the fraction to obtain the simplest fraction value. Here permit usa look at the percent to fraction chart given below.

Percent to Fraction Chart

Important Points

While converting fraction to percent, we multiply the given fraction by 100.
While converting pct to fraction, nosotros dissever the given percentage past 100 and remove the percent sign.
To convert decimal per centum to fraction, remove the decimal point so divide by 100. Then, multiply the denominator with a power of 10 with as many zeros as the decimal places in the numerator.
To catechumen mixed number percent to fraction, catechumen mixed to an improper fraction and so divide it by 100.

Percent to Fraction Related Topics

Cheque these interesting articles to know more than about the concept of a per centum to fraction and its related topics.

Per centum to Fraction Calculator
Fraction to Percent
Fraction to Percentage Calculator
Percentages
Decimal to Percent
Fraction to Decimal
Convert Decimal to Fraction

Percent to Fraction Examples

Example 1: Andrew is given the assignment of finding the values of A, B, C, and D. Can you lot assist him discover the answers?

Pct	Decimal	Fraction
150%	A	B
C	0.12	D

Solution:

A) Per centum to decimal: 150% = 150/100 = 15/10 = 1.5

B) Per centum to fraction: 150%= 150/100 = xv/10= three/ii or $1\frac{1}{ii}$

C) Decimal to pct: 0.12 = 12/100 =12%

D) Per centum to fraction: 12/100 = three/25

Therefore, A = 1.5, B=$1 \frac{ane}{2}$, C= 12%, and D=3/25.

Example two: A sugar solution of 1 liter contains 0.8% of saccharide. Ryan wants to know what fraction of sugar is in the solution by using percent to fraction conversion.

Solution:

To find the answer, we accept to convert 0.8% to a fraction. To convert to fraction, separate the given per centum by 100 after dropping the % symbol. This gives us 0.eight ÷ 100 = 0.viii/100. To remove the decimal signal, multiply both 0.eight and 100 by 10. (0.8 × 10)/(100 × 10)= viii/1000. Further, the GCF of 8 and 1000 is 8. So, (8 ÷ 8)/(m ÷ 8) = 1/125.

Therefore, 0.eight% is equal to 1/125 of sugar in the solution.
Example three: James gives 14% discount on the laptop worth $2500. What will exist a fraction of the discounted price?

Solution:

To find the fraction of the discount, nosotros will have to convert 14 percent to fraction. For that, we accept to remove the per centum sign and split up the given number past 100. By removing the % symbol, we get 14 ÷100. The GCF of 14 and 100 is 2. (14 ÷ two)/(100 ÷ 2) = vii/50.

Therefore, the fraction of the discounted cost is vii/50.

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Percent to Fraction Practice Questions

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FAQs on Percent to Fraction

What is Percentage to Fraction?

Percentage to a fraction is the interpretation of the given percentage in fractional grade. Hither, we demand to convert a percent to a fraction. For this nosotros can simply remove the percentage symbol and replace information technology with a 100 in the denominator, to obtain the required fraction. For an example, 25% = 25/100 = 1/4.

How practise y'all Convert Percent to Fraction?

To convert a percent to a fraction, nosotros have to remove the pct sign and divide the given number past 100. And, then we express the fractional form of the percentage in the simplest form. For case, i% is 1/100, 2% is 2/100 which can be reduced to 1/l.

How to Convert Mixed Percent to Fraction?

The procedure to convert a mixed percent to a fraction is very simple. The steps given below are to be followed to catechumen mixed percentage to a fraction:

Convert the mixed fraction to an improper fraction.
Divide it by 100, and remove the percentage symbol.
The fraction is then simplified to obtain the answer.

Permit us look at a simple example to understand better. 12½% = 25/2% = 25/2 × 1/100 = 25/200 = ane/8.

How to Catechumen Decimal Per centum to Fraction?

The decimal pct tin can be hands converted into a fraction by following the steps given beneath:

Convert the decimal percentage into a fraction percent by dividing it with a power of x containing every bit many zeros as the number of decimal places in the decimal percent given.
Remove the percentage symbol by dividing the fraction by 100.
Simplify the fraction to obtain the required answer.

Let united states of america solve a simple instance to conspicuously empathise this explanation. two.5% = 25/x% = 25/ten × i/100 = 25/thou = 1/twoscore.

What is 54 Percent to Fraction?

To express 54% in fractional form, we will follow the steps mentioned below:

Stride 1: Remove the percent sign and divide information technology past 100. In this fashion, nosotros get 54/100.
Stride 2: Now, express 54/100 in the simplest form, which is 27/l.

Therefore, 54 per centum to fraction is 27/50.

What is ii.7 Per centum to Fraction?

To express 2.seven% in partial form, we volition follow the steps mentioned below:

Step 1: Remove the percent sign and split information technology by 100. In this mode, we become ii.seven/100.
Step two: Multiply both numerator and denominator by x to remove the decimal bespeak. Here, we get 27/1000.
Step 3: Now, limited 27/grand in the simplest course. 27/1000 is already in the simplest form, so it is the concluding answer.

Therefore, two.7 percent to fraction is 27/thou.

Tin can a Per centum and Fraction Be Equal?

A percent and a fraction are not equal. They differ past a pct symbol %. Removal of a pct symbol replaces information technology with a fraction. For example, 40 pct to fraction is xl/100 = 4/10 = 2/5.

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Source: https://www.cuemath.com/numbers/percent-to-fraction/#:~:text=The%20process%20to%20convert%20a,and%20it%20forms%20a%20fraction.