Dividing Fractions: Mixed Numbers Explained

The video tutorial explains how to divide fractions by converting the division into multiplication using the reciprocal of the divisor. It demonstrates this process with the example of 3/5 divided by 1/2, resulting in 6/5, which is then converted into the mixed number 1 and 1/5. The tutorial further clarifies why dividing by a fraction is equivalent to multiplying by its reciprocal through a visual example using objects, reinforcing the concept that dividing by 1/2 is the same as multiplying by 2.

What is the reciprocal of 1/2?

• 1

• 2

• 2/1

• 1/2

What is the result of 3/5 multiplied by 2/1?

• 6/5

• 5/6

• 10/5

• 15/5

What does multiplying by the reciprocal of a fraction effectively do?

• It simplifies the fraction

• It reduces the fraction's value

• It reverses the fraction

• It converts division into multiplication

In the context of fractions, what does 'reciprocal' mean?

• The result of division

• The inverse of multiplication

• The product of two fractions

• The switch of numerator and denominator

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

• Multiply the numerator by the denominator

• Divide the numerator by the denominator

• Add the numerator to the denominator

• Subtract the denominator from the numerator

What is 6/5 as a mixed number?

• 1 1/6

• 6/5

• 1 2/5

• 1 1/5

What is the mixed number form of an improper fraction where the numerator is larger than the denominator?

• A whole number and a fraction

• A fraction only

• A whole number only

• A number less than one

Why is dividing by 1/2 the same as multiplying by 2?

• Because 2 divided by 1/2 equals 4

• Because 1/2 multiplied by 2 equals 1

• Because 2 is the reciprocal of 1/2

• Because 1/2 is the reciprocal of 2

If you have four objects and divide them into groups of two, how many groups do you have?

• 8

• 4

• 2

• 1

If you divide four objects into groups of 1/2, how many groups will you have?

• 16

• 4

• 2

• 8