Understanding Improper Fractions

The video tutorial explains how to convert mixed numbers into improper fractions using two examples: 1 and 5/7, and 3 and 1/8. It demonstrates the process of keeping the denominator the same, multiplying it by the whole number, and adding the numerator to find the new numerator. The video also uses models to visually explain why this method works, showing how the whole number is represented in terms of the fraction's denominator.

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

• Divide the numerator by the denominator

• Multiply the denominator by the whole number

• Subtract the numerator from the whole number

• Add the whole number to the numerator

In the example of 1 and 5/7, what is the improper fraction?

• 7/12

• 12/7

• 1/7

• 5/7

Why do we multiply the denominator by the whole number in the conversion process?

• To find the greatest common divisor

• To find the total number of pieces the whole number represents

• To convert the fraction to a decimal

• To simplify the fraction

What is the equivalent of 1 in terms of sevenths?

• 12/7

• 1/7

• 7/7

• 5/7

What is the improper fraction for 3 and 1/8?

• 1/8

• 3/8

• 25/8

• 24/8

In the example of 3 and 1/8, what does the whole number 3 represent in terms of eighths?

• 32/8

• 24/8

• 16/8

• 8/8

How do you determine the new numerator when converting a mixed number to an improper fraction?

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

• Divide the whole number by the denominator

• Subtract the numerator from the whole number

• Add the whole number to the denominator