Mastering Multiplication and Division of Fractions

Lesson 23 covers multiplying and dividing fractions, focusing on combining these operations. The video provides a detailed example of dividing fractions, including rewriting, simplifying, and multiplying by the reciprocal. It also explains how to convert improper fractions to mixed numbers, with references to previous lessons for additional help.

What is the first step in solving division problems involving fractions?

• Simplify only at the end

• Rewrite and simplify before multiplying

• Multiply directly

• Convert to mixed numbers

What is the correct first step in dividing fractions?

• Multiply the numerators

• Rewrite the problem using the reciprocal of the divisor

• Simplify the fractions

• Convert all fractions to decimals

What do you multiply by in a division problem involving fractions?

• A simplified version of the divisor

• The reciprocal of the dividend

• The reciprocal of the divisor

• The same fraction

How can you simplify before multiplying in a fraction division problem?

• By adding numerators

• By finding common denominators

• By dividing common factors in numerator and denominator

• By multiplying denominators

What is the reciprocal of 1/6?

• 1

• 6/1

• 6

• 1/6

Why is it important to simplify before multiplying in fraction division problems?

• To convert to mixed numbers first

• To find the largest possible number

• It's not necessary to simplify first

• To make multiplication easier

How do you know when you can simplify fractions before multiplying?

• When the numerator is larger than the denominator

• When the fractions are mixed numbers

• When there are common factors in the numerator and denominator

• When the fractions are improper

What is the result of 17 divided by 7?

• 2 and 3/7

• 2 and 1/2

• 3

• 2 and 4/7

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

• Subtract the denominator from the numerator

• None of the above

• Multiply the numerator by the denominator

• Divide the numerator by the denominator and add the remainder

What lessons should you review for converting improper fractions to mixed numbers?

• Lessons 1-5

• Lessons 10-14

• Lessons 20-24

• Lessons 15-19