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**Steps to simplify a fraction**
Start with a fraction:

12/18

What can both 12 and 18 be divided by?

What is a factor of both 12 and 18?

1, 2, 3, and 6 are all factors. They all can divide evenly into 12 and 18.

You can start with any of the factors,

but if you divide by the greatest common factor-gcf

(the largest number that goes into both numbers),

then simplifying can be done in one step.

12 divided by 6 = 2

18 divided by 6 = 3

Therefore: 12/18 ÷ 6/6 = 2/3

Simplest form: 2/3

**Let's try these for extra practice:**
**25/35 **
**Click here to see answer.**

1 and 5 are factors of 25 and 35.

5 is the gcf

Divide both the numerator and denominator by 5

Solution: 5/7

**12/20 Click here to see answer.**

1, 2, and 4 are factors of 12 and 20.

4 is the gcf

Divide both the numberator and denominator by 4

Solution: 3/5

**20/30 Click here to see answer.**

1,2,5,and 10 are factors of 20 and 30.

10 is the gcf

Divide both the numerator and denominator by 10

Solution: 2/3

**12/25
Click here to see answer.**

1 is the only factor that 12 and 25 have in common.

If 1 is the only factor that 2 numbers have in common then the

fraction is already in simpliest form (lowest terms).

Solution: 12/25

Equivalent Fractions

Value of the fractions are the same

Numerator

Top number in a fraction

Denominator

Bottom number in a fraction

Common Denominator

Denominators that are the same number

Uncommon Denominator

Denominators that are not the same number

Simplify

Change fraction to its lowest terms

Greatest Common Factor

The largest number that will divide into 2 or more numbers evenly

Least Common Multiple

The smallest number that 2 or more numbers can be divided into evenly

Convert

To change

Improper Fraction

a fraction where the numerator is greater than the denominator

Proper Fraction

a fraction where the numerator is less than the denominator

Mixed Number

contains an integer, generally a whole number and a fractional part

The Big One

The Big One: a fraction = to one whole, where the numerator and denominator are the same. Ex: 4/4, 5/5, 8/8.