Mastering Multiplication and Division of Fractions

This video tutorial covers the process of multiplying and dividing fractions, focusing on converting mixed numbers to improper fractions, simplifying through cross-canceling, and performing multiplication and division operations. The tutorial provides step-by-step instructions and examples, emphasizing the importance of simplification for easier calculations. It concludes with a division problem, demonstrating the conversion of division into multiplication by flipping the second fraction.

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

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

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

• Add the whole number to the numerator and multiply by the denominator.

• Divide the whole number by the denominator and subtract the numerator.

What is the first step in simplifying fractions before multiplication?

• Cross multiply the numerators.

• Add the denominators together.

• Check if cross-cancellation is possible.

• Convert to mixed numbers.

When converting to an improper fraction, what do you do after multiplying the whole number by the denominator?

• Add the numerator.

• Multiply by the numerator.

• Divide by the numerator.

• Subtract the numerator.

What is the result of multiplying 3/2 by 4/5?

• 12/10

• 6/5

• 1 1/5

• 2/5

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

• Divide the numerator by the denominator and add the remainder.

• Multiply the numerator by the denominator and use the product as the whole number.

• Subtract the denominator from the numerator until you get a remainder.

• Divide the numerator by the denominator, use the quotient as the whole number, and the remainder as the new numerator.

In simplification, what does 'cross-cancellation' mean?

• Multiplying across to simplify.

• Canceling out opposite terms.

• Adding numerators and denominators.

• Reducing fractions across multiplication or division.

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

• Use the quotient as the whole number and the remainder as the new numerator over the original denominator.

• Add the quotient to the remainder.

• Divide the numerator by the denominator and adjust the remainder.

• Multiply the remainder by the denominator.

What is the first step in dividing fractions?

• Multiply the numerators.

• Subtract the denominators.

• Add the two fractions together.

• Flip the second fraction and multiply.

How do you simplify before multiplying fractions?

• Cross-cancel if possible.

• Subtract numerators.

• Flip the first fraction.

• Combine like terms.

What is the result of dividing 2 3/4 by 1/4?

• 3

• 2 1/2

• 11

• 10