Converting Mixed Numbers to Improper Fractions

This video tutorial explains how to convert mixed numbers to improper fractions using a method called the circle trick. The process involves multiplying and adding in a circular manner, ensuring the denominator returns to its original position. Several examples are provided, demonstrating both conversion and reduction techniques, including divisibility shortcuts. The video concludes with a recap of the circle trick method.

What is the first step in the circle trick for converting mixed numbers to improper fractions?

• Divide the numerator by the denominator

• Multiply the whole number by the denominator

• Add the whole number and the fraction

• Subtract the fraction from the whole number

In the first example, what is the improper fraction form of 3 1/3?

• 14/3

• 13/3

• 12/3

• 10/3

Why is it important to check if the resulting fraction can be reduced?

• To change the fraction to a mixed number

• To verify the accuracy of the calculation

• To make the fraction easier to understand

• To ensure the fraction is in its simplest form

In the second example, what is the reduced form of 15/12?

• 4/3

• 3/2

• 5/4

• 6/5

What is the improper fraction form of 7 3/7 using the circle trick?

• 50/7

• 45/7

• 48/7

• 42/7

In the third example, what is the reduced form of 63/6?

• 21/3

• 20/12

• 20/6

• 21/2

What is a quick way to check if a number is divisible by 3?

• Multiply the number by 3

• Subtract 3 from the number

• Add the digits and see if the sum is divisible by 3

• Check if the number is even

What is the final step in the circle trick?

• Add the numerator and denominator

• Subtract the whole number

• Divide the numerator by the denominator

• Return the denominator to its original position

Why is the circle trick useful for converting mixed numbers?

• It provides an exact decimal value

• It changes the fraction to a whole number

• It eliminates the need for division

• It simplifies the process

What should you do if both the numerator and denominator are divisible by the same number?

• Reduce the fraction by dividing both by that number

• Convert the fraction to a decimal

• Add them together

• Multiply them by the same number