Tricks for Multiplying and Dividing Fractions with Mixed Numbers

Jimmy Chang explains tricks for multiplying and dividing fractions with mixed numbers. The key trick is to convert mixed numbers into improper fractions, simplifying the process. He provides examples for both multiplication and division, emphasizing the importance of using the reciprocal when dividing.

What is the first step in handling multiplication and division of mixed numbers?

• Convert to improper fractions

• Simplify the fractions

• Multiply the numerators

• Add the fractions

When multiplying 1 and 3/5 by 2 and 1/7, what is the improper fraction of 1 and 3/5?

• 15/7

• 3/8

• 5/8

• 8/5

What should you do after converting mixed numbers to improper fractions for multiplication?

• Divide the fractions

• Convert back to mixed numbers

• Add the fractions

• Cross simplify before multiplying

In the multiplication of 8/5 and 15/7, which numbers are cross-simplified?

• 8 and 15

• 5 and 15

• 5 and 7

• 8 and 7

What is the result of multiplying 8/5 by 15/7 after simplification?

• 24/7

• 120/35

• 40/21

• 24/35

How do you handle division of mixed numbers like 4 and 3/4 divided by 1 and 1/5?

• Subtract the fractions

• Multiply directly

• Simplify the divisor

• Multiply by the reciprocal of the divisor

What is the reciprocal of 1 and 1/5 when converting for division?

• 5/1

• 6/5

• 5/6

• 1/6

After converting 4 and 3/4 and 1 and 1/5 to improper fractions and using the reciprocal, what is the multiplication setup?

• 21/4 x 6/5

• 21/4 x 5/6

• 19/4 x 6/5

• 19/4 x 5/6

What is the result of multiplying 19/4 by 5/6?

• 95/24

• 114/24

• 95/20

• 114/20

What is the final step after obtaining the result from multiplying improper fractions?

• Convert to a mixed number

• Convert to a proper fraction

• Simplify further

• None of the above