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Fraction Word Problems: Addition, Subtraction, and Mixed Numbers

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In today’s post, we’re going to see how to solve some of the problems that we’ve introduced in Smartick: fraction word problems. They appear during the word problems section at the end of the daily session.

We’re going to look at how to solve problems involving addition and subtraction of fractions, including mixed fractions (the ones that are made up of a whole number and a fraction).

Try and solve the fraction word problems by yourself first, before you look for the solutions and their respective explanations below.

Fraction Word Problems

Problem nº 1

Fraction Word Problems

Problem nº 2

Fraction Word Problems

Problem nº 3

Fraction Word Problems

Solution to Problem nº 1

This is an example of a problem involving the addition of a whole number and a fraction.

Fraction Word Problems

The simplest way to show the number of cookies I ate is to write it as a mixed number. And the data given in the word problem gives us the result: 9 biscuits and 5/6 of a biscuit = 9 5/6 biscuits.

Solution to Problem nº 2

In this example, we have to subtract two fractions with the same denominator.

Fraction Word Problems

To calculate how full the gas tank is, we have to subtract both fractions. Since we are given fractions, the best way to present the solution is in the form of a fraction. Additionally, we’re dealing with two fractions with the same denominator, so we just have to subtract the numerators of both fractions to get the result. 8/104/10 = 4/10

Solution to Problem nº 3

This problem requires us to subtract a mixed number and a fraction.

Fraction Word Problems

To solve this problem, we need to subtract the number of episodes that were downloaded this morning from the total number of episodes that are now downloaded.

To do this, we need to change the mixed number into a fraction: the 5 becomes 60/12 (5 x 12 = 60) and we add it to the fraction 60/12 + 8/12 = 68/12.

We’ve converted the mixed number 5 8/12 to 68/12. Now we just have to subtract the number of episodes that were downloaded yesterday (7/12),  68/127/12 = 61/12.

Hopefully, you didn’t need the explanations and were able to solve them yourself without any help!

Fraction Video Tutorials

In the following video tutorials, you can learn a bit more about fractions. And if you would like to learn more math concepts, check out Smartick’s Youtube channel!

Simplifying Fractions

Simplification Using the GCD

Equivalent Fractions

If you would like to practice more fraction word problems like these and others, log in to Smartick and enjoy learning math.

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1 Comment;

  • Mohamed IbrahimMar 03 2019, 10:35 AM

    It is really great. It helps me a lot.
    Thank you