Converting Mixed Numbers to Improper Fractions

The video tutorial explains how to convert a mixed number into an improper fraction. It begins by breaking down the mixed number into its components and finding a common denominator. The process involves rewriting the whole number as a fraction, multiplying to find equivalent fractions, and then adding them together. The tutorial concludes by verifying the result and discussing the properties of the numbers involved, such as their primality.

What is the first step in converting a mixed number to an improper fraction?

• Divide the whole number by the fraction.

• Subtract the fraction from the whole number.

• Add the whole number to the fraction.

• Multiply the whole number by the denominator.

Why do we need a common denominator when adding a whole number and a fraction?

• To simplify the fraction.

• To multiply the fractions together.

• To ensure the fractions are compatible for addition.

• To convert the fraction to a decimal.

What is the least common multiple of 1 and 29?

• 1

• 87

• 29

• 58

How do you calculate the equivalent fraction for the whole number 3 with a denominator of 29?

• Multiply 3 by 29.

• Divide 3 by 29.

• Add 3 to 29.

• Subtract 3 from 29.

What is the result of adding 87/29 and 2/29?

• 89/29

• 85/29

• 90/29

• 88/29

Why is it important to verify if the result is in its simplest form?

• To make the fraction easier to read.

• To check if the numbers are prime.

• To convert the fraction to a mixed number.

• To ensure the fraction is correct.

What is a characteristic of the number 29?

• It is a composite number.

• It is a perfect square.

• It is a prime number.

• It is an even number.

What is a characteristic of the number 89?

• It is an even number.

• It is a prime number.

• It is a perfect square.

• It is a composite number.

What is the final improper fraction obtained from the mixed number 3 and 2/29?

• 90/29

• 87/29

• 88/29

• 89/29

What is the quick way to verify the conversion of a mixed number to an improper fraction?

• Multiply the whole number by the denominator and add the numerator.

• Add the whole number to the denominator.

• Divide the whole number by the denominator.

• Subtract the numerator from the whole number.