Understanding Division by Fractions

This video tutorial explains how to divide by a fraction using the example of eight divided by seven-fifths. It breaks down the process into understanding the reciprocal of a fraction and applying it to solve the problem. The tutorial uses visual aids to help conceptualize the division and emphasizes the importance of the reciprocal in simplifying the calculation.

What is the first step in solving 8 divided by 7/5?

• Add 8 and 7/5

• Find the reciprocal of 7/5

• Multiply 8 by 7/5

• Subtract 7/5 from 8

How many groups of 7/5 are in a whole?

• 2

• 7/5

• 5/7

• 1

What is the reciprocal of 7/5?

• 1/5

• 7/5

• 5/7

• 1/7

What operation is used to solve 8 divided by 7/5?

• Multiplication

• Division

• Addition

• Subtraction

What is the result of 8 times 5/7?

• 40/7

• 35/7

• 45/7

• 50/7

How can 40/7 be expressed as a mixed number?

• 5 and 6/7

• 5 and 5/7

• 6 and 6/7

• 6 and 5/7

What is the key concept when dividing by a fraction?

• Subtract the fraction

• Divide by the reciprocal

• Multiply by the reciprocal

• Add the fraction

What does dividing by a fraction help us understand?

• How to subtract fractions

• How many times the fraction fits into a whole

• How to find the reciprocal

• How to add fractions

What is the reciprocal of a fraction?

• The fraction itself

• The fraction with numerator and denominator swapped

• The fraction multiplied by 2

• The fraction divided by 2

What is the result of multiplying a number by the reciprocal of a fraction?

• The division of the number by the fraction

• The fraction itself

• The multiplication of the number by the fraction

• The original number