4 2 As A Fraction

What is a fraction?

In mathematics fraction is defined as a part of a certain whole. For instance when using one half (i/2) or iii-quarters (3/four) y'all are really using them.

A fraction contains an integer numerator which is positioned above the line (or on the left side of a slash) and a not-zero integer denominator positioned below the line. 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.

As the form of the fraction is now clear we should refer a fleck to the set up of rational numbers represented in mathematics by Q. This is the set up of all numbers that tin can be written in the course of a fraction (numerator/denominator), more than specifically equally ten/y with 2 condition that x and y are integer numbers AND that y is a non zero number. If i number can exist written in this form and then it is called a rational number.

Instance of numbers and how tin they be expressed as fractions:

■ For example when you are referring to a decimal number such equally 0.05, this is equally partial number even though you practice not see its numerator and denominator as information technology tin can easily exist written every bit 5/100.

■ For example when you are using a percentage such as 10%, this can be written every bit fraction also since whatsoever percentage is made of a numerator (in this instance the numerator is 10) and a denominator which e'er 100; which in our case means that the fraction is 10/100.

■ Even when speaking about integer numbers such as 10, they can be expressed equally fraction since every integer number has ane equally denominator, which means x/one = 10.

■ When you lot are using negative exponents numbers they tin besides exist written as fractions. Allow's take the following negative exponent 10⁻² that equals to i/100.

■ When you lot are referring to sectionalization such as 2 ÷ v this is actually a fraction equally it is equal to 2/v.

■ Also when yous use ratios such as ratio v:6 this is actually the same with five/6 which is a fraction.

How to multiply fractions?

Even though our fraction figurer allows you perform this calculation allow's reply on how to multiply fractions.

■ How to multiply a fraction by another fraction?

In order to multiply a fraction by another you accept to multiply their numerators and multiply their denominators every bit shown in this example:

$How to multiply a fraction by another fraction$

■ How to multiply a fraction by a whole number?

In instance you accept to multiply a whole number with a fraction you need to consider that the integer number can exist written equally a fraction having the denominator one, and then simply multiply two fractions past following the rule explained above. For instance:

$How to multiply a fraction by a whole number$

■ How to multiply mixed numbers?

In order to multiply mixed numbers the best manner to do it is by converting the mixed number into a common fraction and so perform the adding by post-obit the standard multiplication dominion. For instance:

- In case of a multiplication betwixt an integer number and a mixed number:

$How to multiply mixed numbers$

- In case of a multiplication between a uncomplicated fraction and a mixed number yous simply have to convert the mixed number into a common fraction and and so utilize the standard multiplication rule. For case:

$How to multiply mixed numbers$

How to add together fractions?

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. That is why you kickoff have to ensure that both fractions go the same denominator, which ways when they take dissimilar denominator you lot should come across which is the closest common denominator and catechumen them.

■ How to add fractions having different denominators?

In order to add together fractions containing different denominators you need to convert both fractions to the same denominator and the simplest style to practise this is to multiply together the two denominators (bottom 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 take to get-go limited the given number as a fraction so convert it in a fraction having the same denominator as the one you need to add to. For example:

$How to add an integer number to a fraction$

How to subtract fractions?

The steps to follow in case of a subtraction betwixt two fractions are like to the ones as in case of an addition, which ways you can subtract fraction just if they have the same denominator. This way the fraction that is obtained later subtraction will have that denominator while its numerator will be the effect of subtracting the numerators of the initial fractions.

■ How to decrease fractions having different denominators?

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

$How to subtract fractions having different denominators$

■ How to decrease an integer number from a fraction?

To decrease an integer number from a fraction you have to first write the given number as a fraction and so catechumen it in a one having the same denominator every bit the i you need to subtract from. For example:

$How to subtract an integer number from a fraction$

How to carve up fractions?

■ How to split a fraction by a whole number?

In club to this calculation at that place are two approaches: you either choose to divide the numerator past the number only if the given value goes evenly into the numerator (a), or multiply the denominator by the given number (b). For example:

$How to divide a fraction by a whole number$