Simplifying Fractions: Key Concepts and Techniques

What does it mean to simplify a fraction?

• To add more parts to the fraction

• To change the value of the fraction

• To make the fraction larger

• To rewrite the fraction using the smallest top and bottom numbers

Which fraction is equivalent to 1/2?

• 2/4

• All of the above

• 3/6

• 4/8

What is the first step in simplifying a fraction using factoring?

• Add the top and bottom numbers

• Divide the top number by the bottom number

• Replace the top and bottom numbers with their prime factors

• Multiply the top and bottom numbers

What do we call factors that are the same on the top and bottom of a fraction?

• Unique factors

• Common factors

• Whole fractions

• Prime factors

What should you write if you cancel out all factors on the top or bottom of a fraction?

• 0

• The original number

• 2

• 1

What is the simplified form of the fraction 5/15?

• 1/3

• 5/3

• 1/5

• 3/5

What is the simplified form of the fraction 30/36?

• 6/1

• 6/5

• 1/6

• 5/6

What is the greatest common factor (GCF) used for in simplifying fractions?

• To multiply fractions

• To add fractions

• To find the largest number that divides both the top and bottom numbers

• To subtract fractions

Why is it important to simplify fractions?

• To change the value of fractions

• To complicate the problem

• To make fractions larger

• To make calculations easier

What is the simplified form of 27/54?

• 1/4

• 1/2

• 1/5

• 1/3