Multiplying Fractions and Mixed Numbers Explained

The video tutorial covers multiplying fractions and mixed numbers, starting with a practical example using lemonade. It explains the misconception of needing a common denominator when multiplying fractions and introduces the cross-canceling method for simplification. The tutorial also covers multiplying fractions by whole numbers and mixed numbers, emphasizing the importance of converting mixed numbers to improper fractions before multiplication. The video concludes with examples and tips for simplifying results.

If you drink one third of half a cup of lemonade, how much of the whole cup did you drink?

• One fourth

• One sixth

• One half

• One third

What is the result of multiplying one third by one half?

• One eighth

• One sixth

• One fifth

• One fourth

Why is it unnecessary to convert fractions to a common denominator when multiplying?

• It makes the calculation easier

• It simplifies the fractions

• It creates more work and doesn't change the result

• It is required for addition only

What is the simplified form of 6 over 28?

• 1 over 4

• 3 over 14

• 2 over 14

• 3 over 7

What is the benefit of cross-canceling before multiplying fractions?

• It changes the result

• It is required for all multiplications

• It keeps the numbers smaller and easier to work with

• It makes the numbers larger

How do you multiply a fraction by a whole number?

• Multiply the numerator by the whole number and keep the denominator the same

• Divide the fraction by the whole number

• Add the whole number to the fraction

• Convert the whole number to a fraction and then multiply

What should you do if the result of multiplying fractions is an improper fraction?

• Multiply it by another fraction

• Simplify it further

• Convert it to a mixed number

• Leave it as it is

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

• Divide the numerator by the denominator

• Multiply the whole number by the numerator

What is the result of multiplying 3 and 1/3 by 4?

• 15 and 1/3

• 14 and 1/3

• 13 and 1/3

• 12 and 1/3

What is the first step in multiplying two mixed numbers?

• Simplify the fractions

• Multiply the whole numbers

• Convert them to improper fractions

• Add the mixed numbers