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Jun23

Word Problems with Fractions

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

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:

  1. Read the problem carefully.
  2. Think about what it is asking us to do.
  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:

word problems with fractions

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?

word problems with fractions

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:

word problems with fractions

Maria spent Captura of the money her grandparents gave her on an adventure book.  She also spent Captura2of the money on a bag of candy. 

What fraction of the payment has Maria spent?

We find the common denominator:

word problems with fractions

We calculate:

word problems with fractions

Answer:

word problems with fractions

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 usedCaptura of a pound. How much does he have left in the refrigerator?

 We convert 1 into a fraction with the same denominator:

Captura2

We calculate:

Captura3

Answer:

Captura4

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

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11 Comments

  • lilithaSep 15 2017, 6:04 AM

    it is helpfull

    Reply
  • 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

    Reply
  • wendyAug 13 2018, 12:22 AM

    i kinda like it pls write some more problems

    Reply
  • 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 🙂

    Reply
  • Matcha123Nov 09 2018, 6:49 AM

    I really like it

    Reply
  • 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.

    Reply
  • 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

    Reply
    • OliviaJun 06 2019, 10:32 AM

      Hello.

      Reply
  • 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.

    Reply
  • Lea Mae VocalJul 27 2019, 5:14 PM

    I like it… but you can level up please 🙄

    Reply
  • princess heartJul 29 2019, 7:12 AM

    wow nice

    Reply