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Welcome to our Math lesson on Converting Percentages into Fractions and Decimals, this is the fourth lesson of our suite of math lessons covering the topic of Percentages, Fractions and Decimals, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
Converting Percentages into Fractions and Decimals
We can convert percentages into fractions and eventually into decimals by using the inverse procedure of that described earlier. Thus, the percentages are first converted into decimal fractions with a denominator of 100, then as decimals if necessary.
Example 4
A political party (A) won 32.73% of popular votes in a country with several millions of electors. The main opposition party (B) won 29.39% of popular votes and the rest of votes were divided among other political parties. If, in a small town with 10,000 electors, the votes are divided among the subjects participating in the elections exactly as in the popular vote, calculate
- How many electors voted for the political party A in the small town?
- How many electors voted for the opposition party B in the small town?
- How many electors did not chose the two main parties in the small town?
Solution 4
- Let's express the given percentages as decimal fractions. We have:
Party A = 32.73%
= 32.73/100
= 3,273/10,000
As the town has exactly 10,000 electors, the number of people who voted the political party A is 3,273. - Using the same procedure as in (a), yields
Party B = 29.39%
= 929.3/100
= 2,939/10,000
As the town has exactly 10,000 electors, the number of people who voted for the opposition party B is 2,939. - The number of electors who didn't vote the two main parties is calculated in two ways: one by subtracting the number of electors who voted for parties A and B from the total, i.e.
No.of the rest of electors = Total - No.of electors of parties A and B
= 10,000 - 3,273 - 2,939
= 3,788 electors
We can also find this number by calculating the percentage of electors who didn't vote for parties A and B. Thus, we have % of the rest of electors = 100% - 32.73% - 29.39%
= 37.88%
When this percentage is converted into fraction, it becomes 37.88% = 37.88/100
= 3,788/10,000
which means that there were 3,788 people in the town who neither voted for party A nor B.
As you see, the result is the same in both methods used.
More Percentages, Fractions and Decimals Lessons and Learning Resources
Percentages Learning Material| Tutorial ID | Math Tutorial Title | Tutorial | Video
Tutorial | Revision
Notes | Revision
Questions |
|---|
| 5.2 | Percentages, Fractions and Decimals | | | | |
| Lesson ID | Math Lesson Title | Lesson | Video
Lesson |
|---|
| 5.2.1 | Converting Decimal Fractions into Percentages | | |
| 5.2.2 | Converting Decimals into Percentages | | |
| 5.2.3 | Converting Non-Decimal Fractions into Percentages | | |
| 5.2.4 | Converting Percentages into Fractions and Decimals | | |
| 5.2.5 | Comparing Percentages, Fractions and Decimals | | |
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Enjoy the "Converting Percentages into Fractions and Decimals" math lesson? People who liked the "Percentages, Fractions and Decimals lesson found the following resources useful:
- Percent To Fraction Decimal Feedback. Helps other - Leave a rating for this percent to fraction decimal (see below)
- Percentages Math tutorial: Percentages, Fractions and Decimals. Read the Percentages, Fractions and Decimals math tutorial and build your math knowledge of Percentages
- Percentages Video tutorial: Percentages, Fractions and Decimals. Watch or listen to the Percentages, Fractions and Decimals video tutorial, a useful way to help you revise when travelling to and from school/college
- Percentages Revision Notes: Percentages, Fractions and Decimals. Print the notes so you can revise the key points covered in the math tutorial for Percentages, Fractions and Decimals
- Percentages Practice Questions: Percentages, Fractions and Decimals. Test and improve your knowledge of Percentages, Fractions and Decimals with example questins and answers
- Check your calculations for Percentages questions with our excellent Percentages calculators which contain full equations and calculations clearly displayed line by line. See the Percentages Calculators by iCalculator™ below.
- Continuing learning percentages - read our next math tutorial: Percentage Increase and Decrease
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