Lesson 2: Fractions

What is a fraction?

A fraction represents a part of a whole, consisting of two numbers separated by a fraction line.

What are the three ways a fraction can be written?

1. With a fraction symbol (e.g., ⅕), 2. written with a slash (e.g., 1/5), 3. visual representation (shown with shaded parts in a diagram).

What is a numerator?

The numerator is the top number of a fraction, representing how many parts are taken.

What is a denominator?

The denominator is the bottom number of a fraction, representing the total number of equal parts.

What is a proper fraction?

A proper fraction has a numerator that is less than the denominator (e.g., ½, 3/4, 7/8).

What is an improper fraction?

An improper fraction has a numerator that is greater than the denominator (e.g., 7/5, 8/2, 63/7).

What is a mixed number?

A mixed number combines a whole number and a proper fraction (e.g., 2 ½, 5 ⅓, 7 ¾).

What must fractions have in common to be added or subtracted?

Fractions must have the same denominator.

What happens to the denominator when adding or subtracting fractions with like denominators?

The denominator stays the same.

What should you do if the denominators are different when trying to add or subtract fractions?

You must find a common denominator before adding or subtracting.

What is the first step in adding or subtracting fractions?

Check for like denominators.

What are some key words to look for in math problems that indicate addition or subtraction?

Look for clues like 'half,' 'percentage,' 'left over,' 'total.'

What is a test-taking tip for solving fraction problems?

Understand the question and look for key words that guide the operation needed.

How can improper fractions be converted?

Improper fractions can be converted into mixed numbers.