One method in reducing fractions is to find a common factor that can be divided evenly into both the numerator (top number) and the denominator (bottom number).

A quick way to determine a common factor is to consider the divisibility rules for 2, 3, 5, and 10.

****A number is divisible by 2 IF the last digit of the number is an even number. That is, if the last digit is a 0, 2, 4, 6, or 8.**

Positive example: 346 is divisible by 2 because the last digit 6 is an even number.

Negative example: 467 is not divisible by 2 because the last digit 7 is NOT an even number.

****A number is divisible by 3 if the sum of the digits is divisible by 3.**

Positive example: 246 is divisible by 3 because 2+4+6= 12 and 12 is divisible by 3.

Negative example: 211 is NOT divisible by 3 because 2+1+1= 4 and 4 is not divisible by 3.

****A number is divisible by 5 if the last digit is a “0” or “5”.
**

Positive example: 12,435 is divisible by 5 because the last digit is a “5”.

Negative example: 11,231 is NOT divisible by 5 because the last digit is a 1, not a “0” or “5”.

**** A number is divisible by 10 if the last digit is a “0”.**

Positive example: 12, 340 is divisible by 10 because the last digit is a “0”.

Negative example: 986 is NOT divisible by 10 because the last digit is a 6, not a “0”.

**Remember, when you reduce fractions….. you use a form of 1. That means that both the numerator and denominator must be divisible by the SAME number.**

Worksheets and answer keys are PDF downloads.

Example:

4/6 can be divided by 2/2 and reduced to 2/3.

Reducing Fractions Worksheet 1

Reducing Fractions Worksheet 1- Answer Key

Reducing Fractions- Answer Key

You may wonder if there is any divisibility rule for 7. I am sorry to say there is no easy way to determine if a number is divisible by 7. If it is a large number, grab a calculator and check it out.

I can’t seem to download some items (specifically “Comparing Fractions”) even though I am logged in as a member. It just goes back to the registration page, then says “You are already registered at this level.

Is there another (maybe paid) membership level?

Thank you for your help! LOVE the site – keep up the good work!

Try it now. It should be fixed. Let me know if it still is not working.