Here's a summary of the PDF content on simplifying fractions:

Topic: Simplifying Fractions

Core Ideas:

1. Simplifying fractions means reducing a fraction to its simplest form

   1

2. Equivalent fractions represent the same value but with different numbers

   1

3. The process involves finding the greatest common factor (GCF) of the numerator and denominator

   1

Key Points and Highlights:

1. Simplifying fractions makes them easier to understand and work with

   1

2. To simplify a fraction, divide both the numerator and denominator by their greatest common factor

   1

3. Factors are numbers that multiply together to create another number

   1

   2

4. A common factor is a factor shared by two or more numbers

   2

5. The greatest common factor (GCF) is the largest number among the common factors

   2

Steps to Simplify Fractions:

1. Identify the factors of both the numerator and denominator

   2

   3

2. Determine the common factors between the numerator and denominator

   2

   3

3. Find the greatest common factor (GCF)

   2

   3

4. Divide both the numerator and denominator by the GCF

   3

5. The resulting fraction is the simplified or reduced form

   3

Examples:

1. Simplifying 4/8 to 1/2 by dividing both numerator and denominator by 4

   1

2. Finding the GCF of 12 and 30, which is 6

   2

3. Reducing 4/12 to 1/3 by dividing both numerator and denominator by 4

   3

4. Simplifying 10/35 to 2/7 by dividing both numerator and denominator by 5