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Jun23

# Word Problems with Fractions

Today we are going to look at some examples of word problems with fractions.

Although they may seem more difficult, in reality, word problems involving fractions are just as easy as those involving whole numbers. The only thing we have to do is:

3. Think about the information we need.
4. Solve it.
5. Simplify, if necessary.
6. Think about whether our solution makes sense (in order to check it).

As you can see, the only difference in fraction word problems is step 5 (simplify).

There are some word problems which, depending on the information provided, we should express as a fraction.  For example:

In my fruit basket, there are 13 pieces of fruit, 5 of which are apples.

How can we express the number of apples as a fraction?

5 – The number of apples (5) corresponds to the numerator (the number which expresses the number of parts that we wish to represent).

13 – The total number of fruits (13) corresponds to the denominator (the number which expresses the number of total possible parts).

The solution to this problem is an irreducible fraction (a fraction which cannot be simplified). Therefore, there is nothing left to do.

## Word problems with fractions: involving two fractions

In these problems, we should remember how to carry out operations with fractions.

Carefully read the following problem and the steps we have taken to solve it:

Maria spent  of the money her grandparents gave her on an adventure book.  She also spent of the money on a bag of candy.

What fraction of the payment has Maria spent?

We find the common denominator:

We calculate:

## Word problems with fractions: involving a fraction and a whole number

Finally, we are going to look at an example of a word problem with a fraction and a whole number. Now we will have to convert all the information into a fraction with the same denominator (as we did in the example above) in order to calculate

This morning Miguel bought 1 pound of anchovies. In order to eat with his family, he used of a pound. How much does he have left in the refrigerator?

We convert 1 into a fraction with the same denominator:

We calculate:

What do you think of this post? Do you see how easy it is to solve word problems with fractions?

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Diane Ackerman
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• angelika gorospeSep 08 2024, 8:03 AM

is good

• DanikaAug 12 2024, 9:21 AM

I loved the word problem

• DivineApr 18 2024, 1:42 AM

• IbrahimNov 14 2023, 4:14 PM

Thanks

• PETER AMOAKOMay 21 2023, 4:17 PM

THANK YOU

• PaulMay 23 2023, 2:00 AM

it simplifies the teaching and learning process

• Oyeniyi WilsonSep 03 2023, 3:12 PM

Thanks for the explanation… really grateful 🙏

• Fizs khanDec 12 2022, 5:59 AM

Thank you for such good explanations, it helped me a lot

• SmartickDec 15 2022, 6:40 AM

🙂

• Krishna TripathiOct 26 2022, 4:00 AM

It is really good it helped me improve my math a lot.

• smarty genieOct 26 2022, 4:03 AM

same it helps me in my math too

• BRIGHT AYANNUBIJul 30 2022, 4:15 PM

Wow, it really helps a lot

• PhilemonJun 22 2022, 2:09 PM

Good exercises

• Fuseini IbrahimDec 22 2021, 10:46 AM

Interesting

• Stephanie DuahJun 11 2021, 3:28 PM

wow it worked

• Sasha JonesJul 13 2022, 7:18 PM

Hi can you not show the answer till the bottom of the page or your giving away the answer so if you solved number one problem the number one aware to the question will be there at the bottom of the page because it is way to easy if it is right there

• Jeff DansoMar 10 2021, 3:51 PM

I like that you are doing for as Thank you

• FavourApr 10 2022, 4:31 PM

I really want to be part of this

• FaiellaNov 07 2020, 8:28 AM

wow, this help me a lot

• TreasureJan 12 2023, 9:20 AM

Thank you.

• Rosalina PerezJun 18 2020, 9:32 PM

A big help for my kids lesson

• LindaJan 30 2024, 1:13 PM

Thank for helping me

• PrinceJun 04 2020, 3:39 AM

Thank you for all the homework you have given us. God bless you

• Mie Serira LimoconJan 26 2020, 5:47 AM

Thank you for this problems that involved fractions

• MdickieDec 03 2019, 5:41 PM

Hey I will use this in my game☺

• LETLHOGONOLOMay 18 2023, 9:01 PM

• SmartickMay 22 2023, 8:16 AM

Hi Letlhogonolo,

Thank you very much for your comment.
If you want to learn more content like this and practice elementary school math, just sign up at Smartick. You have a free trial period with no strings attached.
If you have any additional questions or doubts you can write to my colleagues of the pedagogical team at [email protected].

Best regards!

• princess heartJul 29 2019, 7:12 AM

wow nice

• Lea Mae VocalJul 27 2019, 5:14 PM

I like it… but you can level up please 🙄

• Akito swuApr 26 2019, 12:30 PM

Roll two dices, the first dice is the numerator, the second is the denominator, this is the first fraction. Roll both dices again and repeat the process to generate the second fraction. Write a division story problem that incorporates these two fractions.

• Myrtle CraneDec 03 2018, 3:21 AM

Seems easy of the examples but when I have fraction word promblems in front of me then its still hard for me to figure it out.The examples on this site still is helpful.I will use the site that you give on here to get further practice.Thank you for the examples on here

• OliviaJun 06 2019, 10:32 AM

Hello.

• Yetunde GrantNov 23 2018, 2:23 AM

Interesting and very helpful. I’m going to continue using this site and tell others about it too.

• Matcha123Nov 09 2018, 6:49 AM

I really like it

• Ralph (student)Oct 22 2018, 6:50 AM

Hey I am in grade five and it is super helpful for my exams thanks and maybe if you could make more it would be appriciated thx 🙂

• UuuOct 15 2021, 1:11 AM

Good efforts

• wendyAug 13 2018, 12:22 AM

i kinda like it pls write some more problems

• Bumblebee2007Mar 22 2018, 4:59 AM

I think it was really good how you are helping fellow students! But I think you can improve if there were more problems for solving! Thanks