Understanding Division of Fractions

The video tutorial explains how to divide fractions by converting the division problem into a multiplication problem using the reciprocal of the divisor. It defines reciprocals and provides several examples, including dividing whole numbers, fractions, and mixed numbers. The tutorial also demonstrates how to simplify the results and convert improper fractions to mixed numbers.

What is the first step in dividing fractions according to the formal rule?

• Subtract the fractions

• Rewrite the division as a multiplication using the reciprocal

• Multiply the fractions

• Add the fractions

What is the reciprocal of two-thirds?

• Three-fourths

• One-third

• Three-halves

• Two-fifths

How do you express one divided by one-half as a multiplication problem?

• One times three

• One times one

• One times two

• One times one-half

What is the simplified result of one divided by one-half?

• Four

• Three

• Two

• One

What is the reciprocal of one-ninth?

• Nine over two

• One over nine

• Two over nine

• Nine over one

What is the simplified result of two-thirds divided by one-ninth?

• Six

• Twelve

• Three

• Nine

What is the simplified result of one-ninth divided by one-third?

• One-fifth

• One-fourth

• One-half

• One-third

How do you convert one and two-thirds to an improper fraction?

• Two-thirds

• Five-thirds

• Four-thirds

• Three-thirds

What is the simplified quotient of one and two-thirds divided by one and a half?

• Ten-ninths

• Nine-tenths

• Eight-ninths

• Seven-ninths

How can ten-ninths be expressed as a mixed number?

• One and three-ninths

• One and two-ninths

• One and four-ninths

• One and one-ninth