Dividing Fractions and Mixed Numbers Explained

This video tutorial covers dividing fractions by whole numbers and dividing mixed numbers. It begins with a review of mixed numbers and their conversion to improper fractions. The tutorial then explains the steps to divide fractions by whole numbers, followed by a detailed process for dividing mixed numbers by first converting them to improper fractions. The video concludes with practice problems for students to solve.

What is a mixed number?

• A number that is only a whole number

• A number that is a mix between two whole numbers

• A number that is a mix between a whole number and a fraction

• A number that is only a fraction

How do you convert a mixed number to an improper fraction?

• Subtract the numerator from the whole number and place over the original denominator

• Multiply the whole number by the denominator, add the numerator, and place over the original denominator

• Add the whole number to the numerator and place over the original denominator

• Multiply the whole number by the numerator and place over the original denominator

What is the first step in dividing a fraction by a whole number?

• Add the fractions

• Take the reciprocal of the divisor

• Change the division sign to multiplication

• Leave the first fraction alone

What is the reciprocal of the whole number 2?

• 3/2

• 1/2

• 2/1

• 1/3

What is the result of dividing three-fifths by two?

• Five-thirds

• Two-fifths

• One-fifth

• Three-tenths

What is the first step in dividing mixed numbers?

• Leave the first fraction alone

• Convert them to improper fractions

• Take the reciprocal of the divisor

• Change the division sign to multiplication

How do you convert 2 and 1/4 to an improper fraction?

• 9/4

• 7/4

• 8/4

• 5/4

What is the reciprocal of two-thirds?

• Three-fourths

• One-third

• Two-thirds

• Three-halves

What is the result of dividing 2 and 1/4 by two-thirds?

• 27/8

• 9/4

• 8/3

• 3/2

What is 27/8 as a mixed number?

• 4 and 1/8

• 3 and 3/8

• 2 and 7/8

• 3 and 1/8