Ordering Improper Fractions and Mixed Numbers

The video tutorial explains how to order improper fractions and mixed numbers from least to greatest. It demonstrates two methods: converting all numbers to mixed numbers and converting them to improper fractions. The tutorial provides step-by-step instructions for each method, including finding common denominators and comparing numerators. The video concludes by showing that both methods yield the same order.

What are the two methods mentioned for ordering improper fractions and mixed numbers?

• Converting all to whole numbers or fractions

• Converting all to ratios or proportions

• Converting all to mixed numbers or improper fractions

• Converting all to decimals or percentages

How is 7/3 converted to a mixed number?

• 2 and 2/3

• 1 and 4/3

• 2 and 1/3

• 3 and 1/3

Which of the following is already a mixed number?

• 17/15

• 7/3

• 4 and 1/2

• 4/3

What is the least common multiple of 3, 5, and 15?

• 60

• 30

• 15

• 45

What is 1 and 1/3 converted to with a denominator of 15?

• 1 and 3/15

• 1 and 2/15

• 1 and 6/15

• 1 and 5/15

Which of the following is the smallest fraction when converted to a common denominator of 15?

• 1 and 6/15

• 1 and 5/15

• 1 and 2/15

• 2 and 1/3

How is 4 and 1/2 converted to an improper fraction?

• 10/2

• 7/2

• 9/2

• 8/2

What is 1 and 2/5 converted to an improper fraction?

• 5/5

• 6/5

• 7/5

• 8/5

What is the least common multiple of 3, 2, 3, 5, and 15?

• 45

• 60

• 30

• 15

Which of the following is the largest fraction when converted to a common denominator of 30?

• 40/30

• 70/30

• 42/30

• 135/30