Dividing Fractions and Mixed Numbers

This video tutorial covers the division of fractions, explaining the basic rule of multiplying by the reciprocal of the divisor. It provides a conceptual understanding using models and examples, including how to handle mixed numbers and negative fractions. The video also demonstrates verifying results using a graphing calculator and offers shortcuts for simplifying fractions.

What is the main goal of the video on the division of fractions?

• To understand multiplication of fractions

• To perform division with fractions and verify using a calculator

• To explore subtraction of fractions

• To learn how to add fractions

How do you divide two fractions?

• Add the fractions

• Subtract the fractions

• Divide the numerators and denominators separately

• Multiply by the reciprocal of the divisor

Why is six divided by 1/2 equal to 12?

• Because 6 times 2 equals 12

• Because 6 divided by 1 equals 6

• Because 1/2 is smaller than 6

• Because 6 divided by 2 equals 3

What is the result of 5/6 divided by 2/3?

• 3/2

• 1/2

• 5/6

• 5/4

How do you convert 5/2 to a mixed number?

• 2 1/2

• 1 1/2

• 3 1/2

• 2 2/5

What is the reciprocal of 1/2?

• 2

• 1/2

• 1

• 1/4

How can you verify the division of fractions using a graphing calculator?

• By subtracting the fractions

• By adding the fractions

• By multiplying the fractions

• By entering the fractions and checking the decimal value

What is the result of 3/8 times negative 4/9?

• 1/6

• -1/6

• 1/9

• -1/9

How do you convert a mixed number to an improper fraction?

• Add the whole number to the numerator

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

• Multiply the whole number by the numerator

• Subtract the numerator from the whole number

What is the final result of 15/4 divided by 15/8?

• 4

• 1

• 3

• 2