Fractions
Math fractions are numbers that are expressed as the ratio of two numbers. These are primarily used for comparison between parts and the whole. A fraction can be a part of an object or a group of objects.
For example, we can find one half of pastry by cutting the pastry into two equal parts.
We can find one half of a packet of jelly beans by dividing the jelly beans into two equal groups.
Each group or share is better known as one half and this is same for other fractions as well. Fractions that are equivalent are nothing but fractions that are equal.
For example, 3 out of 7 is equivalent to 6 out of 14.
In Fraction learning, one can learn addition of fractions, subtraction of fractions, multi
Working with fraction is when we start to work with a part or parts of whole number.
If you and your friend buy a pizza and you need to share it then the best way to get this done is cut it into two pieces. Now you both have one piece each and each piece is one half of the pizza. This is fraction.
In order to simplify fractions, we first need to find the common factor of both the numerator and denominator (A common factor is any number that divides both the numerator and denominator). Like 3 divides 6 and 21.
Then continue dividing the fraction with the common factor till there are no more common factors in the numerator and denominator.
Now the fraction is called as simplified fraction as no common factors remaining which can divide both the numerator and denominator.
Solved Examples
Solution:
Here both 12 and 14 are divisible by 2 so lets divide the fraction with 2.
So we get $\frac{12}{14}$ = $\frac{6}{7}$ Now $\frac{6}{7}$ does not have any common factors so $\frac{6}{7}$ is the simplified fraction
So both 18 and 42 are divisible with 2, 3, 6
Solution:
Here both 24 and 27 are divisible by 3.
So divide the numerator and denominator by 3
$\frac{24}{27}$ = $\frac{8}{9}$. Now 8 and 9 does not have common factors, so $\frac{8}{9}$ is the simplified fraction.
Solving Fractions explained -
How to Add fractions
There are two different types of adding fractions:- Adding Fractions with same denominators
- Adding Fractions with different denominator
How to Subtract Fractions
Subtracting fractions can be of different types which are mentioned below namely:- Subtract Fractions with different denominators
- Subtract Fractions with mixed numbers
- Subtract Fractions with whole numbers
How to Multiply Fractions
Multiplying is another calculation of fractions based on the mathematical operation of multiplication. Get fractions help from expert tutors and learn the concept of multiplication with fractions.Example: $\frac{2}{3}$ x $\frac{3}{5}$ = $\frac{6}{15}$
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How to Divide Fractions
Dividing fractions is nothing but calculating with the application of division. There are different types to and these are stated below namely:- Divide Fractions with variables
- Divide Fractions with whole numbers
- Divide Fractions with mixed numbers
How to Simplify Fractions
There are two different types of simplifying of fractions and below is mentioned these namely:
How to Convert Fractions
Converting fractions is one of the important operations related to fraction calculation. We will learn how to convert fractions to decimals. This is done maintaining a process.There are two types of decimals, Terminating Decimals and Non Terminating Repeating Decimals (or Periodic Decimals) and different types of process is applied for both the conversions.
Below you could see the fraction chart
Below you could see the fraction word problems
Solved Examples
Find out at what fraction of the soft drinks sold was either Pepsi or coke?
Solution:
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