Cross Cancellation and Mixed Numbers

In this video, Mr. Jay explains how to use cross cancellation when multiplying and dividing mixed numbers. The video starts with an example of multiplying mixed numbers by converting them to improper fractions and using cross cancellation to simplify the process. It then moves on to dividing mixed numbers, again using cross cancellation to simplify the fractions before multiplying. The video emphasizes the importance of finding common factors and provides a step-by-step guide to both operations, ensuring a simpler and more efficient calculation process.

What is the first step in using cross cancellation when multiplying mixed numbers?

• Multiply the whole numbers

• Find the greatest common factor

• Add the numerators

• Convert mixed numbers to improper fractions

When converting 10 and 1/8 to an improper fraction, what is the numerator?

• 10

• 8

• 80

• 81

What is the purpose of cross cancellation in multiplication?

• To change the value of fractions

• To avoid using improper fractions

• To simplify fractions before multiplying

• To make numbers larger

Can cross cancellation be used if the only common factor is one?

• Only if the fractions are mixed numbers

• Only if the fractions are improper

• No, it cannot be used

• Yes, always

What is the first step in dividing mixed numbers?

• Add the denominators

• Multiply the numerators

• Convert to improper fractions

• Find the reciprocal

What does 'Keep Change Flip' refer to in division?

• Keeping the first fraction, changing to addition, flipping the second fraction

• Keeping the first fraction, changing to multiplication, flipping the second fraction

• Keeping the first fraction, changing to subtraction, flipping the second fraction

• Keeping the first fraction, changing to division, flipping the second fraction

In the division example, what is the greatest common factor used for cross cancellation between 60 and 12?

• 7

• 12

• 6

• 5

What is the result of 25 divided by 7 when converted to a mixed number?

• 3 and 4/7

• 4 and 3/7

• 3 and 5/7

• 4 and 2/7

Why is cross cancellation useful in division?

• It changes the value of the fractions

• It simplifies the problem before multiplying

• It eliminates the need for reciprocals

• It allows for direct division of mixed numbers

What must be present between numerators and denominators to use cross cancellation?

• A common factor other than one

• Only even numbers

• A common factor of one

• No common factors