Understanding Division and Simplification of Fractions

The video tutorial explains how to divide fractions by converting the division into multiplication using the reciprocal. It provides two examples: dividing 9 by 3/2 and 7/10 by 21/2, demonstrating step-by-step simplification using prime factorization and common factors. The tutorial also explains the meaning of the quotient in a visual context.

What is the first step when dividing by a fraction?

• Add the fractions

• Subtract the fractions

• Divide by the reciprocal

• Multiply by the reciprocal

How do you simplify a fraction using prime factorization?

• By adding the numerators

• By finding common factors and canceling them

• By subtracting the denominators

• By multiplying the denominators

What is the prime factorization of 9?

• 3 * 2

• 1 * 9

• 2 * 4.5

• 3 * 3

What is an alternative method to simplify fractions?

• Recognizing and canceling common factors

• Adding the fractions

• Subtracting the fractions

• Using a calculator

What does the quotient 9 divided by 3/2 represent?

• There are two 3/2 in nine

• There are nine 3/2 in six

• There are six 3/2 in nine

• There are three 3/2 in nine

How do you model the quotient of 9 divided by 3/2 visually?

• By drawing nine rectangles and dividing each into three parts

• By drawing nine rectangles and dividing each into two equal parts

• By drawing six rectangles and dividing each into three parts

• By drawing six rectangles and dividing each into two parts

What is the reciprocal of 21/2?

• 2/1

• 1/21

• 21/2

• 2/21

What common factor do 7 and 21 share?

• 3

• 7

• 2

• 5

What is the result of 7/10 divided by 21/2 after simplification?

• 2/10

• 7/21

• 15/1

• 1/15

Which method allows you to always see the common factors between the numerator and denominator?

• Adding the fractions

• Subtracting the fractions

• Using a calculator

• Prime factorization