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Fractions-Decimals-Percentages Conversion

- Converting Fractions to Decimals & Percentages
- Converting Decimals to Fractions & Percentages
- Converting Percentages to Fractions & 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.

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.

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.

Practice Quiz(download **meandmath practice app**)

Book a free demo class & clear your doubts!

- Introduction to Percentages
- Simplifying Percentages
- FDP
- Finding 10%
- Finding 5%
- Finding % of an amount
- Percentage Increase & Decrease

Converting Fractions to Percentages through

- Visual Representation
- Factor pair Method
- Multiplier Method

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.

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.

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.**

Practice Quiz(download **meandmath practice app**)

Book a free demo class & clear your doubts!

- Introduction to Percentages
- Simplifying Percentages
- FDP
- Finding 10%
- Finding 5%
- Finding % of an amount
- Percentage Increase & Decrease