Division Involving Fractions and Integers

The video tutorial explains how to solve division problems involving fractions and integers. It covers two examples: dividing a negative fraction by an integer and dividing a negative integer by a negative fraction. The process involves converting division into multiplication by using reciprocals and simplifying the expressions by identifying common factors. The tutorial emphasizes the importance of understanding the signs of the numbers involved to determine the final result's sign.

What is the first step when dividing a fraction by an integer?

• Convert the integer into a fraction.

• Subtract the integer from the fraction.

• Multiply the fraction by the integer.

• Add the integer to the fraction.

How do you convert a division problem into a multiplication problem?

• Add the divisor to the dividend.

• Multiply by the reciprocal of the divisor.

• Divide the dividend by the reciprocal of the divisor.

• Subtract the divisor from the dividend.

What is the result of multiplying a negative number by a positive number?

• The same number

• Zero

• A negative number

• A positive number

What is the prime factorization of 15?

• 2 x 3

• 5 x 5

• 3 x 5

• 2 x 5

What is the final quotient of the first example?

• 8

• -1/8

• 1/8

• -8

What is the first step when dividing a negative integer by a negative fraction?

• Add the fraction to the integer.

• Multiply the integer by the fraction.

• Subtract the fraction from the integer.

• Convert the integer into a fraction.

What is the reciprocal of -3/4?

• -3/4

• 4/3

• 3/4

• -4/3

What is the result of multiplying a negative number by another negative number?

• The same number

• A positive number

• Zero

• A negative number

What is the common factor between 6 and 3?

• 5

• 2

• 3

• 4

What is the final quotient of the second example?

• -8

• 1/8

• 8

• -1/8