Theory:

Roshni goes to her school every day. On that way she had a look at numerous things such, the bus is half-filled, a person in the road ate of the half biscuit, and she read an offer for clothing in a clothing shop. While observing all these, she was half an hour late to her class.
 
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And those things she observed are related to the 'Fraction', which is a concept, her teacher taught her yesterday.

She searched in her daily life for what her teacher has taught her. She connected her education with her everyday life and found the beauty of mathematics.

Fractions are an exciting concept in mathematics. In our daily life, we're using fractions in many scenarios.
Example:
1. To express time as quarter past 7, half past 2, quarter to 9.
 
2. To mention the distance as half kilometre, 7 and half kilometre.
 
3. We use fractions to express the scores and marks of examination 450500.
 
4. To express progress or decline, we use fractions such as our economy contracted half-percentage in this financial year.
 
5. We use a fraction to mention how much work has been completed, such half of the work, one third of the work.
 
6. We apply the fractions method to distribute the food such as a pizza and cake.
Let's dive into another example to understand this quite well.
 
James's friend visited his house. And his mother wanted to give an orange fruit to them. But she had only one orange.
If James came alone without his friends, she could have given the entire orange, but he did not. So she had to separate that fruit and gave it to them. But the question is, how?
 
She can separate the whole orange into four parts for the four people. Simply we are dividing one orange into four parts, that is \(1/4\). If we are separating in three parts, then the fraction is \(1/3\).
 
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What is mean by fraction?
A word fraction derived from the Latin word 'Fratus' which means 'broken'. The Egyptians were the first people used fractions in about \(4000\) years ago.
  • Fraction is part of a whole number or a collection of certain things.
  • Any number can be written as fractions. Fractions are a representation of the ratio between two numbers (numerator and denominator).
Let us consider any number, say \(10\), we can write it as \(10/1\) or \(20/2\) or \(50/5\).

Now let us consider any decimal, say \(0.5\), we can write it as \(1/2\) or \(2/4\) or \(10/20\).

Hence, we say a fraction is a way of denoting a number in division form.
 
The number \(1\) can be separated into two parts, that is \((1/2) + (1/2)\) or separated by four equal parts \((1/4) + (1/4) + (1/4) + (1/4)\)
Example:
A pizza can be split into four pieces for four people, which is in a fraction of \((1/4)\). For two people, it can be split into two pieces \((1/2)\).
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Now we gathered the basic idea of fractions and how we are using it in daily life. In the upcoming lessons, we will learn the types of fractions and other concepts related to fractions.
Reference:
https://www.shutterstock.com/image-photo/math-fractions-oranges-sample-on-dark-1451934776
https://www.shutterstock.com/image-vector/fractions-pizza-eduation-poster-illustration-1337049362
https://www.shutterstock.com/image-vector/illustration-girl-going-home-school-on-149527100