# The Relation between Fractions, Decimals and Percentages

When do students first encounter fractions?

It’s probably when they see a 5/5 or 9/10 for a test.

They know that getting 9/10 is a matter of pride but when the concepts of fractions, decimals or percentages are introduced to them, they begin to lose interest.

So instead of independently explaining these concepts as abstract formulae or steps, subject matter experts suggest that we introduce the relation between the three. It helps to bring more clarity to students as a result they don’t see them separately.

In this article, we explain the concepts individually as well as their correlation with each other.

**Fractions**

A fraction is simply defined as a part of the whole. It can be 1 slice of a pizza, 2 hours in a week, 3 eggs from a dozen, etc. Let’s look at the following examples:

- Rohit, Anjali and Divya order a large pizza that has 8 slices. Rohit and Anjali have 2 slices each and Divya eats just 1 slice. So, if you look at the fraction:

a. Rohit and Anjali individually ate 2/8th of the pizza, which means 2 out of 8 slices.

b. Together they ate ½ the pizza.

c. Divya ate ⅛th of it. 3/8th of the pizza was still left. - Suppose you work in a company where every Saturday and Sunday is a holiday, you work 5/7th of the week.
- Your daily diet includes 3 eggs in a day, so you buy a carton of a dozen eggs for convenience. So this way, you know that you consume 3 eggs which is 3/12th of the carton.

A fraction, which is represented by a numerator and a denominator, is easily relatable when the concept is demonstrated through these simple real life situations. This way, children can visualize that the numerator represents the number of parts to be considered and the denominator is the total number of equal parts available.

**Decimals**

A decimal number is a number where the fraction part is denoted by digits after the decimal point. Decimals are used in situations which require more precision than whole numbers can provide.

Money is one such case. A packet of chips costs Rs. 10.50, where .50 is the decimal part.

Rs. 10.50 = Rs. (10 + 0.50) = Rs. 10 + Rs. 0.50

And we know, 50 paise is nothing but ½ a rupee.

Let’s consider a few more examples:

- Delhi temperature touches 47.8 degrees: We can write 47.8 = 47 + 0.8, where 0.8 = 8/10 or 4/5
- The pencil measures 5.20 cm: 5.20 = 5 + 0.20, where 0.20 = 20/100 or 1/5
- 0.049 parts of carbohydrate in milk: 0.049 = 49/1000

Here we see how decimals and fractions are related and interchangeable. We also look at the different place values up to which a decimal number can extend. The place value of decimals begin from tenths in example 1, go up to hundredths in example 3 and similarly, can go on.

Although at school we are taught how to round off decimal figures, it is important that children know about decimals and place values to understand the importance of precision and accuracy. Moreover, these concepts can be strengthened with the help of interesting learning aids.

See how 2.86 can be visualised using flats and rods:

**Percentages**

Percentage in literal terms means per cent, or per 100. One percent (1%) means 1 per 100. 50% means 50 per 100. At the outset we can see that percentages and fractions are closely related. Percentages are most commonly used to make comparisons easier.

For example, it is known that the population of India is 1.311 billion and that of Pakistan is 188.9 million. So how do we compare the literacy rates of both the countries when the populations have such a vast difference?

We compare it per hundred and therefore, the results tell us that the literacy rate of India is 74.04% while that of Pakistan is 66.6%. Which means that on an average, 74 out of every 100 Indian is a literate and 66 out of every 100 people in Pakistan are literates.

We can also present these percentage values as decimals and fractions:

74.04% = 0.7404 = (74 + 4/100) %

66.6% = 0.666 = (66 + 6/10) %

Similarly, we can compare countries, people, weather, etc., with respect to a whole lot of other parameters and get informative conclusions.

So fractions, decimals and percentage make processes smooth that are easy to understand. You can make use of learning aids like Cuemath teachers do to teach your children in a visualised manner.

#### Meryl Vincent

#### Latest posts by Meryl Vincent (see all)

- Introducing- The Cuemath Universe - November 15, 2017
- Six signs that you’re an awesome teacher - October 14, 2017
- Manan Khurma on Bloomberg TV India - September 26, 2017

Hai this is bhanu

This is trishala

Nice and easy teaching if you give a chance I will prove myself

Very interesting way for reaching

I need job as teacher

I need this opportunity and I’m good at doing maths and interested to teach

i need job as Teacher

Yes

Thanks to give me opportunity to do work with cuemath

Thanks I need the opportunity to do something work with income. Home tutorial and math my favorite subject so thank you cue math.

It is very easy to teach

i know this already. still it was helpful in revising.

Yes

The concepts are described in a very interesting way so that they become so lucid.

Thank you for this opportunity…

Reading the method I feel it is a good way to teach Maths with co-relation to other subjects to enhance the child for better understanding of maths especially with children who shy away from the subject. Excellent

Haikkkkk

I have good knowledge for math till 8th class so please give me a chance for prove myself.

When u will call me?

Even i need job from cuemath

I been taking tuitions since 7years…till 12th standard…from chennai..if given opportunity have the tendency to proove cutemath regards

I want a job

I need a job as a home teacher till class 8 all subject

I am Imran khan I have done B.SC IT from Vivek College please if u have any vacancy plz……mail or call me …at this nu 9987304611

Very nice n understanding way or method. Students learn things in playing manner which is quite possible through visuals.

THANK YOU

I Hv Good experience to teach n learn maths upto 8th standard students, so plz giv me a chance to prove myself as a good teacher n earn some extra money for my for my family.

You are supporting good chance for house wife who really knowledgeable

I have 7 years experience in engg. Field as a assistant professor. Now i have resigned from my job because of my new born child.that’s why i want to work as a teacher with cuemath & earn money from home. Please give me apportunity to try my best.

I need job as maths teacher. Please give me one chance. I prove it myself.

I need job as maths teacher.

I have need of job. I love teaching and cuemath has given me the best opportunity

I have 3 years experience.

I love to teach Maths for kids.They easily become a star in maths when iàm teaching.

Hai I have good knowledge about math subject, give me a chance I can prove myself. Thank you

It’s vry interesting to such type of job I would like to work upon it

I have good knowledge for math till 10th class so please give me a chance for prove myself.

I have studied maths till my post graduation. I guide and help my child in maths and other subjects. Please give me a chance to prove myself

I m expertise in commercial mathematics like busibess mathematics if u need then u call me…

Yah i think i can teach the student upto 12th std.because i have completed my btech and i taught 6 month as a physics faculty in ambition classes

Hi ..I m already teaching maths to my students from last 7 years as a tutor

If any post arises in future so give me a chance to share my knowledge

Thanks

It’s really very Easy I want to b part of it as a teacher

Hello I do want this job because I feel very passionate to teach students and I need a job too

Hello Friends,

I am Uday Kiran Karnati, i worked as software engineer for 6 months due to my mother health I left the job from Delhi, I look for a job which helps fill me to earn, i need help how to start and how to enroll in it.

I love to teach math subject.I like math very much

hi how to enroll ?

I wanna a decent income by working from home that too by teaching then it’s well and good..If im given a chance I’ll do my best

Students today lack application of what they learn at their primary level. We need to focus and let the child realise what math does to achild’s motor skills…i am with you to serve today’s child.