Do you have a student who struggles with reducing fractions? Do you cringe at the mire thought of working with fractions? Perhaps you are that student, and perhaps you are frustrated with the concept of reducing fractions. If so, you are not alone!

When learning or tutoring a student in the art of reducing fractions, you should first determine if they have mastered foundational fraction concepts. Do they have the needed vocabulary and know what the parts of a fraction are called? Have they mastered basic math facts such as multiplication and division? What about the understanding of “part of a whole” or “part of a group”? Can they describe real-life situations that involve fractions?

As I ponder myself how to teach reducing or simplifying of fractions, I am reminded that “baby steps” are often necessary and repetition is a must! Students often want to jump to the final concept, but unless they have all the pieces of the puzzle (foundational fraction concepts), they will struggle getting the correct answer.

**Students MUST know their basic multiplication and basic division facts. **One method of reducing fractions is through a process of dividing the numerator and denominator by the same number. They should have the basic understanding that any nonzero number divided by itself is 1. In other words, when reducing a fraction, the numerator and denominator is divided by the same number.

Students are proportionally reducing the fraction therefore making the fraction “look differently” but still the same. If there were two pizzas of the same size and the first was divided into two equal parts and the other was divided into four equal parts, 1/2 of a pizza would be the same as 2/4 of a pizza.

Students should also know how to break a number into Product of Prime Numbers. To do this they will need to know their division facts as well as an understanding of what a prime number is. Why, because a second method of reducing fractions is using prime factorization.

Students should know the divisibility rules for 2, 3, 5, 6, and 10. Have them look at fractions to determine if both the numerator and denominator can be divided by the same number. Why, because they can use those skills to more quickly reduce fractions. Caution: Their fraction may not be fully reduced if they ONLY divide using 2, 3, 5, 6, and 10.

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The FOIL method is one concept that anyone who is preparing for their GED math test needs to learn. The video below multiplies binomials that are all positive terms. Those are fairly straight forward and easy. Be sure to review your positive and negative integers and how to multiply integers as well as combining integers. Another concept you will want to review is multiplying and adding exponent rules.

View the following video (YouTube).

Download worksheets to practice the FOIL method.

Worksheet 1: FOIL-Method-Worksheet-1

Worksheet 1 answer key: FOIL-Method-Worksheet-1 answer key

This assessment is created by an adult instructor who daily helps students prepare for the math test. New problems are added on a regular basis.

Let us know what you think.

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100 Division Facts Assessment Using Numbers Two to Ten | |

Dividing Numbers by Two Worksheets | Dividing Numbers by Three Worksheets |

Dividing Numbers by Four Worksheets | Dividing Numbers by Five Worksheets |

Dividing Numbers by Six Worksheets | Dividing Numbers by Seven Worksheets |

Dividing Numbers by Eight Worksheets | Dividing Numbers by Nine Worksheets |

Dividing Numbers by Ten Worksheets | |

Solving Division Facts Two to Twelve Worksheets |

## Worksheets and answer keys are PDF downloads.

Worksheet 1: Rounding to the Nearest 10,000 1

Worksheet 1 answer key: Rounding to the Nearest 10,000 1 answer key

Worksheet 2: Rounding to the Nearest 10,000 2

Worksheet 2 answer key: Rounding to the Nearest 10,000 2 answer key

Worksheet 3: Rounding to the Nearest 10,000 3

Worksheet 3 answer key: Rounding to the Nearest 10,000 3 answer key

Worksheet 4: Rounding to the Nearest 10,000 4

Worksheet 4 answer key: Rounding to the Nearest 10,000 4 answer key

]]>## Worksheets and answer keys are PDF downloads.

Worksheet 1: 2 Digit by 1 Digit Long Division With Remainders 1

Worksheet 1 answer key: 2 Digit by 1 Digit Long Division With Remainders 1 answer key

Worksheet 2: 2 Digit by 1 Digit Long Division With Remainders 2

Worksheet 2 answer key: 2 Digit by 1 Digit Long Division With Remainders 2 answer key

Worksheet 3: 2 Digit by 1 Digit Long Division With Remainders 3

Worksheet 3 answer key: 2 Digit by 1 Digit Long Division With Remainders 3 answer key

Worksheet 4: 2 Digit by 1 Digit Long Division With Remainders 4

Worksheet 4 answer key: 2 Digit by 1 Digit Long Division With Remainders 4 answer key

]]>## Worksheets and answer keys are PDF downloads.

Worksheet 1: Basic Division 3 Digit By 1 Digit Long Division with Remainders 1

Worksheet 1 answer key: Basic Division 3 Digit By 1 Digit Long Division with Remainders 1 answer key

Worksheet 2: Basic Division 3 Digit By 1 Digit Long Division with Remainders 2

Worksheet 2 answer key: Basic Division 3 Digit By 1 Digit Long Division with Remainders 2 answer key

Worksheet 3: Basic Division 3 Digit By 1 Digit Long Division with Remainders 3

Worksheet 3 answer key: Basic Division 3 Digit By 1 Digit Long Division with Remainders 3 answer key

Worksheet 4: Basic Division 3 Digit By 1 Digit Long Division with Remainders 4

Worksheet 4 answer key: Basic Division 3 Digit By 1 Digit Long Division with Remainders 4 answer key

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Subtracting From Multiples of 100 Worksheets## Worksheets and answer keys are PDF downloads.

Worksheet 1: Subtracting From Multiples of 100 1

Worksheet 1 answer key: Subtracting From Multiples of 1oo answer key

Worksheet 2: Subtracting From Multiples of 100 2

Worksheet 2 answer key: Subtracting From Multiples of 100 2 answer key

Worksheet 3: Subtracting From Multiples of 100 3

Worksheet 3 answer key: Subtracting From Multiples of 100 3 answer key

Worksheet 4: Subtracting From Multiples of 100 4

Worksheet 4 answer key: Subtracting From Multiples of 100 4 answer key

Subtracting From Multiples of 1000 Worksheets## Worksheets and answer keys are PDF downloads.

Worksheet 1: Subtracting From Multiples of 1000 1

Worksheet 1 answer key: Subtracting From Multiples of 1000 1 answer key

Worksheet 2: Subtracting From Multiples of 1000 2

Worksheet 2 answer key: Subtracting From Multiples of 1000 2 answer key

Worksheet 3: Subtracting From Multiples of 1000 3

Worksheet 3 answer key: Subtracting From Multiples of 1000 3 answer key

Worksheet 4: Subtracting From Multiples of 1000 4

Worksheet 4 answer key: Subtracting From Multiples of 1000 4 answer key

]]>Basic math flashcards for adding, subtracting, multiplying, and dividing.