Comparing and Ordering Mixed Numbers and Fractions

The video tutorial explains how to compare and order mixed numbers and improper fractions. It begins with an introduction to the concept and the need for uniformity in number types for comparison. The tutorial then demonstrates converting improper fractions to mixed numbers using long division. Finally, it shows how to plot these numbers on a number line and order them from smallest to largest.

Why is it necessary to convert all numbers to the same type before comparing them?

• To ensure uniformity for accurate comparison

• To make calculations easier

• To avoid using mixed numbers

• To simplify the number line

What is the first step in converting an improper fraction to a mixed number?

• Divide the numerator by the denominator

• Subtract the numerator from the denominator

• Multiply the numerator by the denominator

• Add the numerator and the denominator

In the example 10/3, what is the whole number part of the mixed number?

• 4

• 3

• 2

• 1

What is the mixed number form of the improper fraction 14/3?

• 5 and 1/3

• 4 and 2/3

• 5 and 2/3

• 4 and 1/3

How many times does 3 go into 19 in the fraction 19/3?

• 5 times

• 6 times

• 8 times

• 7 times

What is the mixed number form of 5/2?

• 2 and 2/3

• 3 and 1/2

• 2 and 1/2

• 3 and 2/3

Where would 1 and 1/2 be placed on a number line?

• Between 3 and 4

• Between 1 and 2

• Between 2 and 3

• Between 4 and 5

Which mixed number is closest to 3 on the number line?

• 2 and 1/2

• 2 and 2/3

• 4 and 2/3

• 6 and 1/3

What is the correct order of the mixed numbers from smallest to largest?

• 1 and 1/2, 2 and 2/3, 4 and 2/3, 2 and 1/2, 6 and 1/3

• 1 and 1/2, 2 and 2/3, 2 and 1/2, 4 and 2/3, 6 and 1/3

• 1 and 1/2, 2 and 1/2, 2 and 2/3, 4 and 2/3, 6 and 1/3

• 1 and 1/2, 2 and 1/2, 2 and 2/3, 6 and 1/3, 4 and 2/3

Which mixed number is the largest?

• 1 and 1/2

• 6 and 1/3

• 2 and 1/2

• 4 and 2/3