Understanding Division of Fractions

This video tutorial introduces an alternative method for dividing fractions by first reviewing how to find the quotient of whole numbers. It then explains how to divide fractions with the same denominator by dividing the numerators. Several examples are provided, including dividing 7/8 by 1/4 and 2 by 1/4, using models to verify the results. The tutorial concludes with a complex example involving different denominators, demonstrating how to simplify the quotient. The key takeaway is that if fractions have the same denominator, their quotient is the quotient of the numerators.

What is the first step in dividing whole numbers?

• Multiply the numbers

• Subtract the numbers

• Set up a long division problem

• Add the numbers

When dividing fractions with the same denominator, what can you do to find the quotient?

• Multiply the denominators

• Divide the numerators

• Add the numerators

• Subtract the denominators

In the example of 7/8 divided by 1/4, what is the first step to make the denominators the same?

• Divide 1/4 by 2

• Add 1/4 to 7/8

• Multiply 1/4 by 2/2

• Subtract 1/4 from 7/8

How do you express 7 divided by 2 as a mixed number?

• 3 and 1/2

• 4 and 1/2

• 2 and 1/3

• 3 and 2/3

What is the quotient of 2 divided by 1/4?

• 10

• 6

• 8

• 4

What is the least common multiple of 3 and 5 used in the complex example?

• 15

• 25

• 10

• 20

How do you simplify the fraction 12/10?

• 5/7

• 5/6

• 6/5

• 7/5

What is the mixed number form of 12/10?

• 1 and 1/5

• 1 and 2/5

• 2 and 1/5

• 2 and 2/5

What is the key concept when dividing fractions with the same denominator?

• Add the fractions

• Divide the numerators

• Subtract the denominators

• Multiply the fractions

What is the result of dividing 4/5 by 2/3 after finding a common denominator?

• 1 and 1/5

• 2 and 1/5

• 1 and 2/5

• 2 and 2/5