Subtracting with Fractions or Mixed Numbers by Decomposing

This video tutorial teaches how to subtract fractions and mixed numbers by decomposing them into smaller parts. It begins with a review of equivalent fractions and explains how whole numbers and mixed numbers can be decomposed into fractions. The tutorial addresses common misunderstandings in subtraction and demonstrates the use of fraction bar models for visualization. Advanced techniques for subtracting mixed numbers are also covered, providing a comprehensive understanding of the topic.

What does the term 'equivalent fractions' mean?

• Fractions that are in simplest form

• Fractions that represent the same value

• Fractions that have the same denominator

• Fractions that have the same numerator

How can the number 1 be represented as a fraction?

• All of the above

• 3/3

• 2/2

• 1/1

What is a common mistake students make when subtracting mixed numbers?

• Multiplying the fractions

• Using the wrong operation

• Forgetting to decompose the numbers

• Adding instead of subtracting

In the cookie analogy, how is 3 represented to subtract 1/2?

• 3 and 1/2

• 2 and 2/2

• 1 and 1/2

• 3 and 2/2

When using a fraction bar model, why might you only divide one whole into halves?

• To keep the fractions equivalent

• To avoid confusion

• Because you only need to subtract 1/2

• To make the problem simpler

How do you handle different denominators when subtracting mixed numbers?

• Subtract the numerators directly

• Ignore the denominators

• Use the larger denominator for both fractions

• Convert both fractions to have the same denominator

What is the result of subtracting 1 and 1/3 from 3 using decomposition?

• 2 and 2/3

• 2 and 1/3

• 1 and 2/3

• 1 and 1/3