How to Divide a Fraction by a Mixed Number

The video tutorial teaches how to divide a fraction by a mixed number. It begins by explaining that fractions can only be divided by other fractions, necessitating the conversion of mixed numbers into improper fractions. The 'keep change flip' strategy is introduced to facilitate the division process. The tutorial also covers cross cancellation to simplify fractions before multiplication. Two example problems are solved to demonstrate these techniques, with additional resources suggested for further practice.

Why is it necessary to convert a mixed number to an improper fraction before dividing?

• To simplify the calculation

• To ensure both numbers are fractions

• To make the numbers smaller

• To change the operation to multiplication

What does the 'keep, change, flip' strategy involve?

• Keeping the divisor, changing the operation, flipping the dividend

• Keeping the operation, changing the numbers, flipping the result

• Keeping the dividend, changing the operation, flipping the divisor

• Keeping both numbers, changing the operation, flipping both

What is the reciprocal of a fraction?

• A fraction with the same numerator and denominator

• A fraction with the denominator doubled

• A fraction with the numerator and denominator swapped

• A fraction with the numerator doubled

What is the purpose of cross-cancellation in fraction multiplication?

• To change the fractions into whole numbers

• To simplify the fractions before multiplying

• To convert the fractions into decimals

• To make the fractions larger

Which pair of numbers can be cross-cancelled in the fraction multiplication 3/4 * 2/5?

• 3 and 5

• 2 and 4

• 3 and 2

• 4 and 5

In the example problem, what is the result of dividing 1/6 by 4 2/3?

• 1/28

• 1/6

• 1/14

• 1/12

What should you do if you need more practice with dividing fractions by mixed numbers?

• Read a book on multiplication

• Ignore the topic

• Practice with additional problems

• Watch a video on adding fractions