Converting Mixed Numbers and Fractions

This video tutorial by Mr. Math Blog covers section 7.6 on renaming fractions and mixed numbers. It explains the principle that any number over itself equals one and demonstrates how to convert mixed numbers to improper fractions and vice versa. The tutorial includes practical examples, such as determining if there is enough pie for guests and calculating fabric needed for a headband. It also uses number lines to illustrate fraction concepts and concludes with a summary of key points.

What is the principle used to simplify fractions like 3/3 or 7/7?

• They equal the denominator.

• They equal the numerator.

• They equal one.

• They equal zero.

How can you express 5/3 as a mixed number?

• 2 and 2/3

• 2 and 1/3

• 1 and 2/3

• 1 and 1/3

In the apple pie example, how many 1/6 size pieces are in 2 and 3/6 pies?

• 14 pieces

• 12 pieces

• 15 pieces

• 16 pieces

What is another way to represent 2 and 3/6 using fraction bars?

• 15/6

• 12/6

• 13/6

• 14/6

How much fabric does Lisa need for her headband if each piece is 1/3 of a yard?

• 2 and 2/3 yards

• 3 yards

• 1 and 1/3 yards

• 2 and 1/3 yards

On a number line, what fraction is equivalent to 1 and 5/6?

• 13/6

• 12/6

• 11/6

• 10/6

How can you convert 3 and 1/7 to an improper fraction?

• 23/7

• 22/7

• 24/7

• 21/7

What is the shortcut for converting a mixed number to an improper fraction?

• Subtract the numerator from the whole number and multiply by the denominator.

• Add the whole number to the numerator and multiply by the denominator.

• Multiply the numerator by the denominator and add the whole number.

• Multiply the whole number by the denominator and add the numerator.