Dividing Mixed Numbers and Fractions

This video tutorial covers the process of dividing fractions and mixed numbers. It explains that dividing fractions is similar to multiplying them, with a key step of converting the division operation into multiplication by using the reciprocal of the second number. The tutorial provides a mnemonic 'keep it, switch it, flip it' to remember the steps. Two examples are worked through in detail, demonstrating the conversion of mixed numbers to improper fractions, simplification, and multiplication. A practice problem is also provided for students to try on their own.

What is the key difference between dividing and multiplying fractions?

• The first number is changed.

• The operation is changed from multiplication to division.

• The second number is flipped to its reciprocal.

• The numbers are added instead.

What is the first step in dividing mixed numbers?

• Convert them to improper fractions.

• Flip the second number.

• Multiply the numerators.

• Add the denominators.

In the 'keep it, switch it, flip it' method, what does 'switch it' refer to?

• Switch the first number.

• Switch the operation from division to multiplication.

• Switch the second number.

• Switch the numbers to decimals.

What is the improper fraction form of 6 1/2?

• 6/2

• 7/2

• 12/2

• 13/2

After converting mixed numbers to improper fractions, what is the next step?

• Add the fractions.

• Multiply the fractions.

• Keep the first number, switch the operation, flip the second number.

• Divide the fractions.

What is the simplified result of 6 1/2 ÷ 8 2/3?

• 3/4

• 1/2

• 2/3

• 3/5

What is the improper fraction form of 2 2/3?

• 6/3

• 8/3

• 7/3

• 9/3

What is the simplified result of 2 2/3 ÷ 4 2/7?

• 25/45

• 20/45

• 30/45

• 28/45

What should you do if your final answer is not fully simplified?

• Add 1 to the numerator.

• Simplify it further.

• Multiply it by 2.

• Leave it as it is.

What is the first step in solving 4 1/5 ÷ 6 3/10?

• Flip the first number.

• Add the fractions.

• Convert to improper fractions.

• Multiply the fractions.