HOW TO SOLVE WORD PROBLEMS IN FRACTIONS

About the topic "How to solve word problems in fractions"

"How to solve word problems in fractions" is a big question having had by all the students who study math in all levels. Solving word problems in fractions is never being easy and always it is a challenging one for any student. 

How to solve word problems in fractions?

The answer  for the question "How to solve word problems in fractions ?" is purely depending upon the question that we have in the topic "Word Problems on Fractions". The techniques and methods we apply to solve word problems in fractions  will vary from problem to problem.

The techniques and methods we apply to solve a particular word problem will not work for another word problem in fraction.

In algebra and some other areas of math, we will solve most of the problems without any diagram. But, in trigonometry, for each word problem, we have to draw a diagram. Without diagram, always it is bit difficult to solve word problems in trigonometry. 

Even though we have different techniques to solve word problems in different topics of math, let us see the steps which are most commonly involved in "How to solve word problems in fractions"

Steps involved in solving word problems in fractions

Step1:

Understanding the question is more important than any other thing. That is, always it is very important to understand the information given in the question rather than solving.

Step2:

If it is possible, we have to split the given information. Because, when we split the given information in to parts, we can understand them easily.

Step3:

Once we understand the given information clearly, solving the word problem would not be a challenging work. 

Step4:

When we try to solve the word problems in fractions, we have to introduce "x" or "y" or some other alphabet for unknown value (=answer for our question). Finally we have to get value for the alphabet which was introduced for the unknown value.

Step5:

If it is required, we have to draw picture for the given information. Drawing picture for the given information will give us a clear understanding about the question.

Step6:

Using the alphabet introduced for unknown value, we have to translate the English statement (information) given in the question as mathematical equation.

In translation, we have to translate  the following English words as the corresponding mathematical symbols.

                                  of -------> x (multiplication)

am, is, are, was, were, will be, would be --------> = (equal)

Step7:

Once we have translated the English Statement (information) given in the question as mathematical equation correctly, 90% of the work will be over. The remaining 10% is just getting the answer. That is solving for the unknown.

Apart from the above steps, if we want to convert a fraction in to percentage, first we have to convert fraction in to decimal. Then, decimal has to be multiplied by 100. The another way of making fraction as percentage is making the denominator of the fraction as 100. 

These are the steps most commonly involved in "How to solve word problems in fractions".

Let us look at, how these steps are involved in solving the word problem given below.

Problem:

You give 1/3 of a cake to Susan and 1/6 of the cake to Patrick. How much of the cake did you give away ?

Solution:

Step 1:

Let us understand the given information. There are two information given in the question. 

(i)  1/3 of the cake is given to Susan 

(ii)  1/6 of the cake is given to Patrick.

Step 2:

Target of the question:  In total, how much is given to both Susan and Patrick.

Step 3:

Introduce required variables for the information given in the question. 

Let "x" be the total amount of cake.

Clearly, we have to find how much of "x" is given to both Susan and Patrick. 

Step 4:

Translate the given information as mathematical equation using "x" . 

First information:

1/3 of the cake is given to Susan

Translation:

Amount of cake given to Susan = (1/3)x

Second Information:

1/6 of the cake is given to Patrick.

Translation:

Amount of the cake given to Patrick = (1/6)x

Step 5:

Total mount of cake given to both = (1/3)x  +  (1/6)x

                                                                 = (2/6)x  +  (1/6)x

                                                                 = [(2+1)/6]x

                                                                 = (3/6)x

                                                                 = (1/2)x

Therefore, (1/2) of the original cake is given away.

More word problems in fractions will be updated soon

Please click the below links to know "How to solve word problems in each of the given topics"

1. Solving Word Problems on Simple Equations

2. Solving Word Problems on Simultaneous Equations

3. Solving Word Problems on Quadratic Equations

4. Solving Word Problems on Permutations and Combinations

5. Solving Word Problems on HCF and LCM

6. Solving Word Problems on Numbers

7. Solving Word Problems on Time and Work

8. Solving Word Problems on Trains

9. Solving Word Problems on Time and Work.

10. Solving Word Problems on Ages.

11.Solving Word Problems on Ratio and Proportion

12.Solving Word Problems on Allegation and Mixtures.

13. Solving Word Problems on Percentage

14. Solving Word Problems on Profit and Loss

15. Solving Word Problems Partnership

16. Solving Word Problems on Simple Interest

17. Solving Word Problems on Compound Interest

18. Solving Word Problems on Calendar

19. Solving Word Problems on Clock

20. Solving Word Problems on Pipes and Cisterns

21. Solving Word Problems on Modular Arithmetic

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