Equivalent Fractions, Simplifying Fractions, GCF

1. The video below explains how to simplify fractions and the meaning of Greatest Common Factor.

2. What are Equivalent Fractions?

Fractions that are equal to each other are called equivalent fractions.

Example:
square metre or square meter
It is clear from the images above that the yellow coloured portions of the 3 pizzas are equal to each other.
So,
4
8
 = 
2
4
 = 
1
2

Therefore, Annie, Betty and Charlie each got
1
2
a pizza.

When possible, we should simplify fractions.

3. Why should we simplify fractions?

We should simplify fractions because simplified fractions are easier to understand.

Example:
So, though
51
85
is the same as
3
5
, it is much easier to understand
3
5
than
51
85
.

4. Simplify the fraction   
4
8
.

To simplify the fraction, keep dividing the numerator and the denominator by a common factor until you can't divide them any further.

So, to simplify the fraction
4
8
, divide both 4 and 8 by 2 (as 2 is a common factor of 4 and 8).
4 / 2
8 / 2
 = 
2
4


2 and 4 can be divided further by 2.

2 / 2
4 / 2
 = 
1
2


1
2
is the simplest form of the fraction
4
8
.

5. Simplify the fraction   
180
240
.

To simplify the fraction
180
240
, divide both 180 and 240 by their common factors.

It is easy to see that both numbers can be divided by 10.

180 / 10
240 / 10
 = 
18
24


18 and 24 can be divided further by 2.

18 / 2
24 / 2
 = 
9
12


9 and 12 can be divided further by 3.

9 / 3
12 / 3
 = 
3
4


3
4
is the simplest form of the fraction
180
240
.