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Understanding Reducing Fractions

Finding Simplified/Simplest Form

If you get 3 equal slices of a 6 sliced pizza and 1 slice of a 2 sliced pizza, which one is greater?

Let’s go through an example.

Who do you think eats more?

Both eat equally.

Click through the **slideshow** to understand better.

The simplified form of fractions is also called **the reduced form** or **the lowest form** of fraction.

To simplify any fraction, we divide both the numerator & the denominator by the same number.

We have divided the understanding based on some types to make it easier and faster to workout.

Type #1: When the bigger number is divisible by the smaller number.

Type #2: When both the numerator & the denominator have zeroes at the end.

Type #3: When **both** the numerator and denominator are divisible by some other number.

Type #4: Chain Simplification.

Click through the **slideshow** to understand how to simplify fractions.

Type #1 method helps quickly simplify the fraction just by checking if the smaller number divides the bigger number completely.

For Example,

4/12 has 4 as the smaller number and 12 as the bigger number .

4 divides 12 completely.

Divide both the numerator & the denominator by 4.

4/12=1/3

4/12 reduces to 1/3.

Click through the **slideshow** to understand better.

Type #2 is the case when both the numerator & the denominator have zeroes at the end.

We divide by 10 to write the fraction in lowest form.

**Remember: **Dividing by 10 is just cancelling zeroes at the end from both the numerator & the denominator.

You will get some fractions where the smaller number is **not** the divisor of the bigger number.

It will be done easily by the Type #3 method.

Follow the steps below to simplify fractions under type #3.

Step #1: Think of the common divisor . You can start with the common prime divisor.

Step #2: Divide both the numerator & the denominator by the common divisor.

**A common divisor is also called a common factor.**

For Example,

15/20

15 is the smaller number but is not the divisor of 20.(20 doesn’t come in the table of 15)

5 is the common divisor.

Divide both the numerator & the denominator by 5.

15/20=3/4

15/20 is reduced to 3/4.

Click through the slideshow to understand better.

While simplifying fractions, you may get some fractions that are not getting simplified in a single step.

They need multi-steps to simplify.

To simplify fraction through multi-steps, follow the steps below.

Step #1: Take the smallest common divisor. Prime divisors are useful in this case.

Step #2: Repeat the step 1 until you get the simplest form.

Click through the **slideshow** to understand.

to do

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- Understanding Whole as a Percentage
- Simplifying Percentages
- FDP
- Finding 10%
- Finding 5%
- Finding % of an amount
- Percentage Increase & Decrease