Fraction to percent: Types of fractions and percentages
In fraction to percent conversions, a fraction shows how many parts of a whole you have. The top number of a fraction is the numerator and the bottom number is the denominator. ½ is a fraction for example and in fraction to percent conversions, both the top and the bottom numbers of a fraction determine the percentage. If you picture a pie, the bottom number shows in how many slices to slice that pie and the top number shows the number of slices you have. So ½ shows that you have sliced the pie into 2. In fractions and fraction to percent conversions, there are various ways and types of representing fractions:
- Proper and improper fractions: There are both proper and improper fractions in fraction to percent conversions. Proper fractions are the fractions whose top number is smaller than the bottom number while an improper fraction is a fraction in which the top number is bigger than the bottom number. For example, 6/7 is a proper fraction while 7/6 is an improper fraction.
- Like and unlike fractions: Like fractions are fractions that are the same while unlike fractions are those fractions that are different and both of these fractions can undergo a fraction to percent conversion. For example, the fraction 2/4 and ½ are like fractions due to the fact that 2/4 can be simplified to ½ mathematically because both the top number and the bottom number can be divided by the same number which is 2. ½ is the simplified form of 2/4 and in fraction to percent conversion; the simplified forms are mostly used. Unlike fractions, on the other hand, are fractions that are completely different. For instance, 6/9 and 2/4 are unlike fractions because even when you simplify them, you get ½ and 2/3 which are totally different from each other.
- Mixed fraction: This is a combination of a fraction and a whole number or in other words, it is a fraction which has a natural number and a proper fraction. For example, 1½ is a mixed fraction. It can be converted to an improper fraction in fraction to percent calculations by multiplying the bottom number by the whole number and adding the top number. For instance, 1 ½ becomes 3/2. This conversion makes it easy to perform a fraction to percent calculation.
In fraction to percent conversions, the percentage refers to a fraction of a whole. This implies that for whatever you are looking at, its fraction to percent conversion is the percentage of the fraction of the whole thing that you have. For example, 50% means ½ and 25% means ¼. You will often need to figure out the percentages when converting a fraction to percent. For example, if in a class of 26 students there are 14 girls and you are required to determine the percentage of girls, you will need to determine that percentage of 14/26 and this is where learning how to convert fraction to percent will be useful. Another example of determining a fraction to percent quantity is if you are told 10% implies 10 out of every 100 people and you are asked to determine 10% of 500 people. There are various ways of performing fraction to percent calculations. It is also important to note that in order to convert a fraction to percent you may first need to convert the fraction to a decimal. This is done by dividing the numerator of a fraction by its denominator. And also, if you are converting a complex fraction to percent you will first need to simplify it. For example, 8/16 can be simplified to ½ which makes it easy to perform a fraction to percent calculation.
Converting a fraction to percent
To convert a fraction to percent, there are two steps followed. The first step is to convert a fraction into a decimal as mentioned earlier. For example, if you want to convert 4/5 fraction to percent, you will divide the numerator by the denominator to get 0.8. The next step in converting the fraction to percent will be to convert the decimal to a percentage. To convert 0.8 to a percentage, you will move the decimal point two places to right and then add the percentage sign. Or you can simply multiply it by 100%. If you have a complex fraction like 5/8 and you are required to change from fraction to percent, you will use long division method. Divide the numerator by the denominator, which is 5 divided by 8. You will come up with 0.625. Then convert 0.625 to a percentage by multiplying by 100%. The fraction to percent conversion of 5/8 will be 62.5%.
Another simple method of converting a fraction to percent is by using a calculator. You can perform fraction to percent calculations by simply typing the numbers as they are. Enter the top of the fraction, press the division sign and enter the bottom of the fraction. The answer you get will probably be in decimals. Multiply that answer by 100. You will have performed a fraction to percent calculation. In yet another method of converting a fraction to percent, you will begin by finding the number in which when you multiply it by the bottom of the fraction you will get 100. Multiply both the bottom and the top of the fraction by that number. The last step in converting a fraction to percent with this method is to write the top number with a percentage sign. An example is to convert 3/4 fraction to percent. You can multiply 4 by 25 to get 100 because 100 can be divided by 4 to get 25. Multiply 3 by 25 and 4 by 25. The top number will be 75 in which you will add the percentage sign and you will have converted 3/4 fraction to percent. The same can be done to 3/16. 16 will be multiplied by 6.25 to become 100. This is because when you divide 100 by 16 it becomes 6.25. Now to convert the 3/16 fraction to percent you multiply 3 by 6.25. It will be equal to 18.75%.
There is still another method of converting a fraction to percent. Since a percent is actually a ratio or parts per 100, proportions can also be used in doing the fraction to percent conversion. You will, first of all, put what you know in a form of a top fraction and a bottom fraction which is equal to 100 percent. The next step in this fraction to percent conversion method is to solve by multiplying across the known corners and dividing by the third number. For example to convert 3/16 fraction to percent, first fill in what you know. That is: 3/16 is equal to 100%. Then in multiplying across the known corners and dividing the answer by the third number: the known corners are the top and the bottom right. Percent will be equal to 3 multiplied by 100 and the answer divided by 16. The final fraction to percent conversion answer will be 18.75%.
Why it is important to learn how to convert fractions to percentage
The purpose of learning fraction to percent conversions is to synthesise the students’ knowledge to work with fraction to percent applications. The ability to learn and work independently with fraction to percent conversions depend on the students having a good understanding of place value of decimal numbers and fractions together with their fraction to percent operations. It is very important for students to be given opportunities to explore and articulate the connections in fraction to percent conversions on their own and be able to work between them fluently.
Converting fraction to percent is a proper way of expressing a fraction of 100 or a different way of writing hundredths. The percentage symbol “%” in fraction to percent calculations is made up of the per (/) sign and the two zeros on the number 100. Using physical representations, fraction to percent learning helps learners to clearly see and establish connections between the fraction, the percentage and the decimal representation in fraction to percent conversions.
Converting fraction to percent is a third way of writing fractions and decimals. The concept of fractions, decimals and percentage and fraction to percent conversions is crucial in the engineering fields. For example in civil engineering, the fraction to percent forms is necessary for many applications. The factor of safety in a structural member is represented by a decimal or a fraction which requires fraction to percent calculations. In risk management field, analysis includes the probability of an event and this probability ranges from 0 to 1 and can be expressed better when converted from fraction to percent. Even though fractions, decimals and percentages essentially represent the same information it is important to learn about fraction to percent, percentage to fraction, percentage to decimal, decimal to percentage, fraction to decimal and decimal to fraction conversions. It is more beneficial and easy to understand if you use a number in one format like the one you get from a fraction to percent calculation.
Learning about fraction to percent conversions is also helpful in the day to day activities like shopping. In shopping, you often see signs like 40% off or half off. Without the fraction to percent knowledge, you will not be able to estimate the price. To determine the price of an item or to compare the prices you will need to perform some calculations which involve fraction to percent conversions. When tax is added to a purchase price, you will need to perform fraction to percent calculations in order to determine the cost.
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