says I should “change” my shirt before she “flips” her lid! Dividing Fractions Made Easy! Same! Change! Flip! My momma says I should “change” my shirt before she “flips” her lid! © Created by Mike Walker

doesn’t remember what he had for breakfast! Dividing Fractions Dividing fractions sounds hard, but if you remember how to multiply fractions, then you’re in luck! With a little change to a division of fractions’ problem, you’ll be right back to multiplying. Sparky doesn’t remember what he had for breakfast! We better review!

“cross-cancel” method: Dividing Fractions To multiply fractions, we multiply numerator by numerator and denominator by denominator. 𝟒 𝟗 × 𝟑 𝟔 = 𝟏𝟐 𝟓𝟒 But don’t forget to simplify! 𝟏𝟐÷𝟔 𝟓𝟒÷𝟔 = 𝟐 𝟗 2 1 Or use the “cross-cancel” method: 𝟒 𝟗 × 𝟑 𝟔 = 2 9 3 3

cross-cancelling thing is sweet! Can we do another one…pleeeease? Dividing Fractions Now I remember how to multiply fractions! And that cross-cancelling thing is sweet! Can we do another one…pleeeease? Awesome! Absolutely! But first, let’s look at how to divide fractions.

Dividing Fractions Dividing fractions is a tricky concept. Something to think about: Dividing fractions is a tricky concept. It’s easier to multiply them. By using the phrase, “same, change, flip,” we can easily turn a division of fractions’ problem into a multiplication problem. (“Same, change, flip” means multiply by the reciprocal in the big leagues.)

Remember to think “same, change, flip”! Dividing Fractions 𝟐 𝟑 ÷ 𝟑 𝟒 Let’s try one! Remember to think “same, change, flip”! Same – The first fraction stays the same: 𝟐 𝟑 Change – Change the division symbol to multiplication: 𝟐 𝟑 × Flip – Flip (invert) the second fraction: 𝟐 𝟑 × 𝟒 𝟑

kinda cool, but I’m not quite sure I have it. Dividing Fractions And just like that, we’re back to multiplying! 𝟐 𝟑 × 𝟒 𝟑 = 𝟖 𝟗 𝟐 𝟑 ÷ 𝟑 𝟒 = 𝟖 𝟗 is simplified, we’re done! since That “same, change, flip” thing is kinda cool, but I’m not quite sure I have it. Then let’s do another one!

Dividing Fractions 𝟒 𝟗 ÷ 𝟖 𝟏𝟓 𝟒 𝟗 𝟒 𝟗 × 𝟒 𝟗 × 𝟏𝟓 𝟖 Same: Change: Flip: Give this a try! Same: 𝟒 𝟗 Change: 𝟒 𝟗 × Flip: 𝟒 𝟗 × 𝟏𝟓 𝟖

Don’t forget to simplify! Or try the cross-cancel method. It’s fun! Dividing Fractions 𝟒 𝟗 ÷ 𝟖 𝟏𝟓 = 𝟒 𝟗 × 𝟏𝟓 𝟖 = 𝟔𝟎 𝟕𝟐 Don’t forget to simplify! 𝟔𝟎 𝟕𝟐 = 𝟔𝟎 ÷ 𝟏𝟐 𝟕𝟐 ÷ 𝟏𝟐 = 𝟓 𝟔 Or try the cross-cancel method. It’s fun! I think I get it, but what about mixed numbers? 1 𝟒 𝟗 × 𝟏𝟓 𝟖 5 = 𝟓 𝟔 3 2 Great question!

Dividing Fractions 𝟒𝟓 𝟖 𝟒𝟓 𝟖 × 𝟒𝟓 𝟖 × 𝟒 𝟓 𝟓 𝟓 𝟖 ÷𝟏 𝟏 𝟒 = 𝟒𝟓 𝟖 ÷ 𝟓 𝟒 Write as improper fractions first! Try this one! = 𝟒𝟓 𝟖 ÷ 𝟓 𝟒 Same: 𝟒𝟓 𝟖 Change: 𝟒𝟓 𝟖 × Flip: 𝟒𝟓 𝟖 × 𝟒 𝟓

Dividing Fractions 𝟒𝟓 𝟖 × 𝟒 𝟓 = 𝟗 𝟐 𝟗 𝟐 =𝟒 𝟏 𝟐 9 1 𝟒𝟓 𝟖 × 𝟒 𝟓 1 = 𝟗 𝟐 This is a nice problem to cross-cancel. 2 1 Don’t forget to turn the improper fraction back into a mixed number! 𝟗 𝟐 =𝟒 𝟏 𝟐

Now it’s your turn to try some… Dividing Fractions Warning! You can only cross-cancel after a division of fractions’ problem has been changed to multiplication. My momma always warns me not to hold in my sneezes. Have you taken a look at my head? Point taken! Do you listen to her? Now it’s your turn to try some…

Dividing Fractions Good luck! Answers: 1. 𝟏 𝟒 ÷ 𝟐 𝟓 2. 𝟐 𝟕 ÷ 𝟓 𝟕 1. 𝟓 𝟖 2. 𝟐 𝟓 3. 𝟑 𝟖 ÷ 𝟑 𝟏𝟔 4. 6 𝟑 𝟒 ÷ 𝟗 𝟏𝟎 4. 7 𝟏 𝟐 3. 2 5. 1 𝟑 𝟒 ÷2 𝟓 𝟖 5. 𝟐 𝟑 © Created by Mike Walker