Absolute mastery in converting fraction to percentage is vital. This is also used in a great number of real life situations. In this paper, we will learn how to work percentage out of the fraction of 9-12 in percentage: real life example with steps, explanation, and a conversion table.
How percent and fraction are defined and applied in this space
Before you begin converting, there is an understanding required on what percent is. The term “percent” is a part of a larger whole which is divided by 100, and the amount it represents also has its importance. The etymology per hundred typically dictates the meaning of percent and general use is aiding in measurement comparisons of relative portions of an overall figure.
Finally, fractions can be defined as a portion. Converting a fraction to percent basically takes that fraction and enlarges it or makes it smaller by altering its denominator to be 100. This necessitates the need to depict the fraction in the 100 form for ease.
The Methodology in Detail: The Conversion of 9/12 into a Percentage
This section is focused on the elbow grease of doing the conversion.
Step 1: Write Down the Formula
As a simple general guideline, all fractions can be converted into percentage utilizing a rule which says:
\[\text{Percentage} = \left(\frac{\text{Numerator}}{\text{Denominator}}\right) \times 100\]
In the situation being considered, the fraction is 9/12. Replacing it for the variable in the formula we get the result as:
\[\text{Percentage} = \left(\frac{9}{12}\right) \times 100\]
Step 2: Modify the Numerator and Denominator in Case of 100 Being the Final Divisor
There is a common perception that it would be easier to modify both numerator and denominator first before actual division by hundred, especially when it is not done. Herein, since both nine and twelve are multiples of threes, dividing by three is our main focus.
\[\frac{9}{12} = \frac{9 \div 3}{12 \div 3} = \frac{3}{4}\]
From this point forward, we see a simpler fraction, therefore calculation is less cumbersome and complicated.
Step 3: Carry Out the Multiplication
Next, we can multiply three quarters 3/4 by 100 to change it into percentage:
\[\frac{3}{4} \times 100 = 75\]
So, we reach a final answer of 75% after expressing 9/12 as a percentage.
A Closer Look: Why Rub Fractions Prior to Performing Calculations?
Be it Methods of Mathematics or any other math handout, the standard protocol is to rub the fractions first so as to find out the percentage of the fraction, but why would that be the case? It is a matter of dealing with less complex numbers which in turn means less room for mistakes to be made once the calculations are carried out. Still, in this case, it can be bypassed as the original fraction can be used instead (9/12):
\[\frac{9}{12} \times 100 = 0.75 \times 100 = 75\%\]
Even though the end result remains unchanged, using the less complicated and more simple to understand broken fraction is the best approach.
Visual Representation: 9/12 written as a pc
Let’s say you have a chocolate bar divided into a total of 12 parts. In this case, when you say that you have a spice of 9 over 12 (or 9 out of 12) this means that you ate 9 pieces of the chocolate bar. However, this quantity can also be shown such as ‘I have accomplished 75 percent of the choco treat’.
There is also the explanation of the concept with the use of images such as pie charts and bar graphs. Let us assume that you are invited for a party, and you are given a pie chart cut into 12 slices as part of the invitation. On the evening of the party you take nine slices out of the twelve which means that roughly three out of the four slices, or three quarters (75 %) of that pie shall be colored in.
Translating Fractions Into Percentages: Everyday Examples
There are statements that certain professional domains relate to a more practical understanding with this concept of changing fractions into percentage. Here are some statements.
Generally speaking, the percentage is a figure which most teachers use as a means of measuring students’ success in tests and assignments.
For example, if a student attains a score of 9 out of 12, it means the student scored 75%.
As an example, such figures are better off shown in percentage form whenever one wants to showcase interest rate changes, sales discounts etc.
There are instances that one has cooking or baking as an activity, and there is a need to alter the amount of a single ingredient in the recipe. For example, if three-quarters (75%) of a cup is required, it may be convenient to define the cup-measurement’s value as nine over twelve (9/12 cups).
Data Analysis: It is well known that a percentage is one of the statistical measurements, and also there are some processes which percentages appear to be more suitable in the evaluation and the presentation of results and data.
Additional Examples for Research
In order to comprehend better, we can look at some examples for assistance.
1. Example 1: How is 2/5 expressed in percent?
– The fraction can be reduced to two-fifths.
– Now, taking the above: two-fifths x one hundred = forty percent.
2. Example 2: How is 7/8 expressed in percent?
– As an example, the fraction which would be simplified to seven eighths. (This can’t be further simplified).
– Multiplying that by a hundred gives us 78/100 x 100 which equals 87.5 percent.
3. Example 3: How is 5/6 expressed in percent?
– This can further be simplified into five-sixths. (This cannot be further simplified either).
– So, five-sixths multiplied by a hundred equals 83.33 percent.
As a percent of fractions having different denominators As a Formatted Tables Scrapped for HTML
Here is a graph which shows the popular fractions and their percentage in the form of a graph.
| Fraction | Reduced Form | % |
|————–|——————|——-|
| One-Half | 50% | 50% |
| One-Third | 33.33% | 33% |
| Two-Thirds | 66.67% | 66% |
| One-Quarter | 25% | 25% |
| Three-Quarter | 75% | 75% |
| 1/5 | 20% | 20% |
| 2/5 | 2:5 | 40% |
| 9/12 | 3/4 | 75% |
| 7/8 | 7/8 | 87.5% |
| 5/6 | 5/6 | 83.33% | Because of this, this table can serve as a basis for the determination of common fractions into percentile rank.
FaQ Related To Fractions And Percentages Scales 1. Why Percentages And Not Fractions?
– It is easier to work with a percentage as it is relatively more convenient in terms of comparison across a number of values. 2. Are all the fractions representable as percentages into fractions, simple and easy?
– No, some primitive fraction affects me a ratio which means to approximate a certain percentage trick. 3. What if the numerator is larger than the denominator?
– When the numerator exceeds the denominator, fractions are more than one hundred percent. For example, 5/4 equals one hundred twenty five percent.
Practical Tips for Converting Fraction into Percentage
– Make Use of a Calculator: A thorough complexity of fractions can be made easy and also break the barrier of time by having a calculator.
– Familiarize yourself with Fractional Parts: As such as one factors, one half, one third, three quarters ascribed percentage figures, if they remain steadfast in their recollection their arithmetic will be accomplished rather quickly.
– Keep Practicing: As you keep practicing more and more you will become more assured in your ability to convert fraction values to percent values.
Conclusion
The ability to convert fractions into a percent value should not be looked down on as it is a versatile skill set that would come handy whether in academic work or normal daily activities. Thus the fraction nine over twelve is approximately three quarters and by time sting that over one hundred we will have seventy five percent. With enough practice and knowledge of what to do, anyone can be able to master this particular math skill with ease.
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