■ How to subtract fractions having different denominators? This way the fraction that is obtained after subtraction will have that denominator while its numerator will be the result of subtracting the numerators of the initial fractions. The steps to follow in case of a subtraction between two fractions are similar to the ones as in case of an addition, which means you can subtract fraction only if they have the same denominator. To add an integer number to a fraction you have to first express the given number as a fraction and then convert it in a fraction having the same denominator as the one you need to add to. ■ How to add an integer number to a fraction? In order to add fractions containing different denominators you need to convert both fractions to the same denominator and the simplest way to do this is to multiply together the two denominators (bottom number). ■ How to add fractions having different denominators? That is why you first have to ensure that both fractions get the same denominator, which means when they have different denominator you should see which is the closest common denominator and convert them. The basic rule on how to add fractions says that you can perform an addition only if the denominator of the two fractions is the same. In case of a multiplication between a simple fraction and a mixed number you only have to convert the mixed number into a common fraction and then apply the standard multiplication rule. In case of a multiplication between an integer number and a mixed number: In order to multiply mixed numbers the best way to do it is by converting the mixed number into a common fraction and then perform the calculation by following the standard multiplication rule. In case you have to multiply a whole number with a fraction you need to consider that the integer number can be written as a fraction having the denominator 1, and then simply multiply two fractions by following the rule explained above. ■ How to multiply a fraction by a whole number? In order to multiply a fraction by another you have to multiply their numerators and multiply their denominators as shown in this example: ■ How to multiply a fraction by another fraction? How to multiply fractions?Įven though our fraction calculator allows you perform this calculation let’s answer on how to multiply fractions. ■ Also when you use ratios such as ratio 5:6 this is actually the same with 5/6 which is a fraction. ■ When you are referring to division such as 2 ÷ 5 this is actually a fraction as it is equal to 2/5. Let’s take the following negative exponent 10 −2 that equals to 1/100. ■ When you are using negative exponents numbers they can also be written as fractions. ■ Even when speaking about integer numbers such as 10, they can be expressed as fraction since every integer number has 1 as denominator, which means 10/1 = 10. ■ For example when you are using a percentage such as 10%, this can be written as fraction too since any percentage is made of a numerator (in this case the numerator is 10) and a denominator which always 100 which in our case means that the fraction is 10/100. ■ For instance when you are referring to a decimal number such as 0.05, this is as fractional number even though you do not see its numerator and denominator as it can easily be written as 5/100. If one number can be written in this form then it is called a rational number.Įxample of numbers and how can they be expressed as fractions: This is the set of all numbers that can be written in the form of a fraction (numerator/denominator), more specifically as x/y with two condition that x and y are integer numbers AND that y is a non zero number. For instance 1/2 consists of the numerator 1 that indicates the fact that in this case is a single equal part and of the denominator 2 that indicates the facts that in this case the whole is made of 2 equal parts.Īs the form of the fraction is now clear we should refer a bit to the set of rational numbers represented in mathematics by Q. ![]() For instance when using one half (1/2) or three-quarters (3/4) you are actually using them.Ī fraction contains an integer numerator which is positioned above the line (or on the left side of a slash) and a non-zero integer denominator positioned below the line. In mathematics fraction is defined as a part of a certain whole.
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