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Reducing Fractions Worksheets

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

Reducing Fractions- Answer Key