Learning Checklist
Fractions-Decimals-Percentages Conversion
- Converting Fractions to Decimals & Percentages
- Converting Decimals to Fractions & Percentages
- Converting Percentages to Fractions & Decimals
#1: Fractions to Percentages & Decimals
We have already discussed how to convert fractions into percentages.
Here, we’ll discuss how to convert fractions into percentages & decimals.
Step #1: Convert a fraction into an equivalent fraction, keeping the denominator 100.
Step #2: Write in decimals and percentages from the decimal fraction obtained.
Let’s understand through an example card.
#2: Decimals into Fractions & Percentages
The fractional part of a decimal helps convert a decimal into a fraction.
For Example,
3.25=325/100
The fraction representation of 3.25 is 13/4 (simplified form of 325/100).
The percentage representation of 3.25 is 325%.
Let’s understand through an example card.
#3: Percentages to Fractions & Decimals
A percentage represents a part out of 100.
Let’s understand through an example.
28%=28 out of 100=28/100.
The fraction representation of 28% is 7/25 (a simplified form of 28/100).
The decimal representation of 28% is 0.28.
Remember: A point shifts 2-steps towards the left when divided by 100.
Let’s understand through an example card.
Test Your Understanding
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Olympiad Level Questions
Practice Quiz(download meandmath practice app)
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Related Topics
- Introduction to Percentages
- Simplifying Percentages
- FDP
- Finding 10%
- Finding 5%
- Finding % of an amount
- Percentage Increase & Decrease
Learning Checklist
Converting Fractions to Percentages through
- Visual Representation
- Factor pair Method
- Multiplier Method
Method#1: Visual Representation
Visual representation helps us understand how to convert fractions into percentages visually.
We had already discussed wholes & percentages previously. Click here for a quick go-through.
Method #2: Factor pair of 100
A factor of a number divides the number without leaving any remainder.
Factor pair of a number are two numbers multiplied together to get the same number.
for example,
2×5=10
2 & 5 are factor pair of 10.
There can be more than 1 factor pair for any number.
Remember: Prime numbers have only one factor pair.
Method #3: Multiplier Method
It is a method where 100 acts as a multiplier to convert a fraction into a percentage.
Multiply the fraction by 100 and simplify.
Remember: When a fraction multiplies with 100, only the numerator is multiplied by 100.
The denominator stays the same.
Test Your Understanding
Want to practice More!
Download our MeandMath Practice app!
Olympiad Level Questions
Practice Quiz(download meandmath practice app)
Still Stuck!
Book a free demo class & clear your doubts!
Related Topics
- Introduction to Percentages
- Simplifying Percentages
- FDP
- Finding 10%
- Finding 5%
- Finding % of an amount
- Percentage Increase & Decrease