8 5 In Fraction Form

What is a fraction?

In mathematics fraction is defined as a function of a certain whole. For instance when using one half (one/ii) or three-quarters (iii/four) you are actually using them.

A fraction contains an integer numerator which is positioned to a higher place the line (or on the left side of a slash) and a non-zero integer denominator positioned below the line. For example 1/2 consists of the numerator 1 that indicates the fact that in this case is a single equal function and of the denominator 2 that indicates the facts that in this instance the whole is made of 2 equal parts.

As the form of the fraction is at present clear nosotros should refer a fleck to the set of rational numbers represented in mathematics by Q. This is the set of all numbers that tin 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 not aught number. If one number tin be written in this form and then information technology is called a rational number.

Example of numbers and how tin can they be expressed every bit fractions:

■ For case when you are referring to a decimal number such every bit 0.05, this is every bit fractional number fifty-fifty though you exercise non see its numerator and denominator as it can easily be written every bit 5/100.

■ For example when you are using a percentage such as ten%, this can be written as fraction likewise since whatever percentage is made of a numerator (in this case the numerator is x) and a denominator which ever 100; which in our case means that the fraction is 10/100.

■ Fifty-fifty when speaking well-nigh integer numbers such as ten, they can be expressed as fraction since every integer number has ane as denominator, which means 10/i = 10.

■ When you are using negative exponents numbers they can also be written as fractions. Let's accept the following negative exponent 10⁻ⁱⁱ that equals to 1/100.

■ When yous are referring to partitioning such as 2 ÷ 5 this is actually a fraction as it is equal to 2/5.

■ Also when you lot use ratios such every bit ratio v:half-dozen this is really the same with v/6 which is a fraction.

How to multiply fractions?

Even though our fraction calculator allows you perform this calculation let's answer on how to multiply fractions.

■ How to multiply a fraction by another fraction?

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 a fraction by a whole number?

In case you take to multiply a whole number with a fraction you need to consider that the integer number can be written every bit a fraction having the denominator ane, and then simply multiply two fractions by post-obit the dominion explained above. For example:

$How to multiply a fraction by a whole number$

■ How to multiply mixed numbers?

In lodge to multiply mixed numbers the best way to do it is past converting the mixed number into a mutual fraction and so perform the calculation by post-obit the standard multiplication rule. For instance:

- In instance of a multiplication between an integer number and a mixed number:

$How to multiply mixed numbers$

- In example of a multiplication between a simple fraction and a mixed number you only take to convert the mixed number into a common fraction and and so apply the standard multiplication dominion. For example:

$How to multiply mixed numbers$

How to add fractions?

The bones dominion on how to add fractions says that you can perform an addition only if the denominator of the ii fractions is the same. That is why you first accept to ensure that both fractions get the same denominator, which ways when they have different denominator y'all should run across which is the closest common denominator and catechumen them.

■ How to add together fractions having different denominators?

In order to add fractions containing different denominators you lot need to convert both fractions to the aforementioned denominator and the simplest style to do this is to multiply together the ii denominators (lesser number). For instance:

$How to add fractions having different denominators$

■ How to add an integer number to a fraction?

To add an integer number to a fraction you have to offset express the given number as a fraction then convert it in a fraction having the same denominator every bit the one you demand to add to. For instance:

$How to add an integer number to a fraction$

How to subtract fractions?

The steps to follow in case of a subtraction between ii fractions are like to the ones as in case of an add-on, which ways you can subtract fraction only if they have the same denominator. This way the fraction that is obtained after subtraction will have that denominator while its numerator volition exist the result of subtracting the numerators of the initial fractions.

■ How to decrease fractions having dissimilar denominators?

In guild to decrease fractions having different denominators you need to convert both of them to the same denominator and the simplest way to do this is to multiply together the two denominators (bottom number). For instance:

$How to subtract fractions having different denominators$

■ How to subtract an integer number from a fraction?

To subtract an integer number from a fraction yous accept to commencement write the given number as a fraction and then convert it in a ane having the same denominator as the ane yous demand to subtract from. For example:

$How to subtract an integer number from a fraction$

How to divide fractions?

■ How to divide a fraction past a whole number?

In order to this adding there are 2 approaches: yous either choose to divide the numerator by the number only if the given value goes evenly into the numerator (a), or multiply the denominator by the given number (b). For instance:

$How to divide a fraction by a whole number$