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The key thing to carrying out the addition of fractions correctly is to always keep in mind the most important part of the fraction, which is the number under the line, known as the denominator. If we have a situation where the denominators in the fractions involved in the addition process are the same, then we merely add the numbers that are above the separation line, or as a mathematician would put it, "Add the numerators only". We can look at an example of adding two fractions like 3⁄7 and 4⁄7. The expression would look like this: 3⁄7 + 4⁄7 = 7⁄7. In the case when the numerator is equal to the denominator, like in the foregoing example, it can also be equated to 1.

A company has 860 employees, of which 500 are female. Write a fraction to represent the female employees in the company. In a letter puzzle game, John can use every alphabet only once. He used only 8 alphabets to solve the puzzle. What fraction of the 26 alphabets did he use? Express your answer as a fraction in the simplest form. There are 18 students in Jacob's homeroom. Six students bring their lunch to school. The rest eat lunch in the cafeteria. In the simplest form, what fraction of students eat lunch in the cafeteria? the decimal would then be 0.05, and so on. Beyond this, converting fractions into decimals requires the operation of long division.In everyday language, we can simply say that a fraction is how many parts of a certain size there are, like one eight-fifths. Simple Methods of Calculating Fractions Simple addition of fractions When an exponent expression is written with a positive value such a 4² it is easy for most anyone to understand this means 4 × 4 = 16 Someone ate 1/10 of a cake, leaving only 9/10. If you eat 2/3 of the cake left, how much of a whole cake will you have eaten? The following fraction is reduced to its lowest terms except one. Which of these: A.98/99 B.73/179 C.1/250 D.81/729

However, this was one of the easiest examples of subtracting fractions. The process may become slightly more difficult if we face a situation when the denominators of the fractions involved in the calculation are different. Nonetheless, there is a rule that allows us to carry out this type of calculation effectively. Remember the first thing: when subtracting fractions, the denominators must always be the same, or, to put it in mathematicians' language, the fractions should have a common denominator. To do that, we need to look at the denominators that we have. Here is an example: 2⁄3 - 3⁄5. So, we do not have a common denominator yet. Therefore, we use the multiplication table to find the number that is the product of the multiplication of 5 by 3. This is 15. So, the common denominator for these fractions will be 15. However, this is not the end. If we divide 15 by 3, we get 5. So, now we need to multiply the first fraction's numerator by 5 which gives us 10 (2 x 5 = 10). Also, we multiply the second fraction's numerator by 3 because 15⁄5 = 3. We get 9 (3 x 3 = 9). Now we can input all these numbers into the expression: 10⁄15 - 9⁄15 = 1⁄15. Therefore, 2⁄3 - 3⁄5 is equal to 1⁄15. This process can be used for any number of fractions. Just multiply the numerators and denominators of each fraction in the problem by the product of the denominators of all the other fractions (not including its own respective denominator) in the problem. EX: When subtracting fractions with unlike denominators – 2/ 5 and 3/ 10 – repeat the procedure from the previous section, but subtracting, not adding in the final step: If there are seven apples and five oranges in the basket, what fraction of oranges are in the fruit basket?

Squared

You can use, for example, LCM – the least common multiple to find the common number of your two denominators: LCM(5,10) = 10 Another option is to multiply your denominators and reduce the fraction later. Find the squared value of a number n. Enter positive or negative whole numbers or decimal numbers or scientific E notation. Squaring Negative Numbers

Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. One method for finding a common denominator involves multiplying the numerators and denominators of all of the fractions involved by the product of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method. a It is often easier to work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms. 220 When a is a fraction, this essentially involves exchanging the position of the numerator and the denominator. The reciprocal of the fraction 3 going to move three to the left of negative 2. So we go 1, 2, 3. We end up at negative 5. So this is negative 5. So notice in bothThere are 420 pupils in the school. Two hundred fifty-two pupils go to the 1st level. Write as a fraction what part of the pupils goes to the 1st grade and what part to the 2nd grade. Shorten both fractions to their basic form. Similarly, fractions with denominators that are powers of 10 (or can be converted to powers of 10) can be translated to decimal form using the same principles. Take the fraction 1 The result is a (mixed) fraction reduced to it’s simplest form. Also a table with the result fraction converted in to decimals an percent is shown. So, you should multiply the fraction with the denominator equal to 5 (our 1/5) by 2 to get 10 (remember that you must multiply both top and bottom numbers): as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below.