Circle Trick for Converting Mixed Numbers to Improper Fractions

This video tutorial from Moomoomath demonstrates the 'circle trick' method for converting mixed numbers into improper fractions. The method involves a circular process of multiplying and adding the mixed number's components. Several examples are provided, illustrating the conversion process, including handling prime numbers and reducing fractions. The video concludes with a summary of the method's usefulness in simplifying fraction conversion.

What is the first step in the circle trick method for converting mixed numbers?

• Subtract the numerator from the denominator

• Divide the whole number by the denominator

• Multiply the whole number by the denominator

• Add the numerator and denominator

In the first example, what is the improper fraction obtained from the mixed number 1 7/11?

• 18/11

• 11/18

• 7/11

• 11/7

Why can't the fraction 18/11 be reduced further?

• Because 18 is a prime number

• Because both numbers are odd

• Because both numbers are even

• Because 11 is a prime number

What is the result of converting the mixed number 9 5/8 using the circle trick?

• 72/5

• 72/8

• 77/8

• 77/5

Why can't the fraction 77/8 be reduced?

• Because 77 is a prime number

• Because 77 is not divisible by 8

• Because 8 is a prime number

• Because 8 is not divisible by 77

What is the reduced form of the fraction 24/10?

• 5/12

• 10/5

• 24/5

• 12/5

In the example of 2 1/3, what is the improper fraction obtained?

• 7/2

• 6/2

• 6/3

• 7/3

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the main benefit of using the circle trick for conversions?

• It simplifies the addition process

• It reduces the need for division

• It helps in multiplying fractions

• It provides a systematic way to convert mixed numbers

What should you do if the resulting improper fraction can be reduced?

• Reduce it to its simplest form

• Convert it back to a mixed number

• Leave it as it is

• Multiply it by the denominator