Fractions Tutorial Intro Lesson Quiz

Tutorial Any time, you can click on the home button to get back to the home page The minus sign will take you back a page The plus sign will take you to the next page

Intro This lesson is for 6th grade students and follows the ODE standards for mathematics. Concluding the lesson, students will: Understand what a fraction is Demonstrate how to add and subtract fractions Solve with different denominators

Lesson What is a Fraction? A fraction is a representation of a whole into parts Numerator N Denominator D

Fraction Types Proper Fraction: The fraction is in lowest terms where the numerator number is less than the denominator number. Examples: 1 2 17 2 5 20 Improper Fraction: Where the fraction can be reduced into lower terms. The numerator is greater than or equal to the denominator. Examples: 5 7 12 5 2 6

Fraction Types Mixed Fraction: The fraction can be reduced. It can be written as a improper fraction. It has a whole plus a part. Examples: 1 3 3 7 2 5

Simplest Form Examples: 8 2 Fractions should always be in simplest form. How do you get the fraction in simplest form? You have the find the GCF and divide the numerator and denominator by that GCF. Examples: 8 2 12 3 4 is the GCF for 8 and 12. 2÷3 is the correct answer. It can no longer be simplified.

Common Denominator = + + Example: 2 4 10 12 22 You can’t just add and subtract fractions. They have to be in the same terms. It is like adding apples and oranges, you can’t add them together. You have to find the LCD of the two denominators. This number will be the new denominator. Next, multiply the numerator by the number you multiplied to the denominator. Example: 2 4 10 12 22 3 5 15 15 15 + The LCD is 15. = +

Fractions To add or subtract you go straight across. You add or subtract the numerators. The denominators have the be the same to be able to preform the operation. You don’t add or subtract the denominator, you just carry it over to the answer. 2 4 7 7 Go straight across 6 = + 7

Examples = = 1 = ? ? = Simplify: Lets do some examples! 3 9 6 9 3 1 9 3 9 6 9 = Simplify: ? = ? 3 1 9 6 2 9 = = 1 3 goes into 3 and 6. 3 goes into 3 one time and 3 goes into 6 two times 9 goes into 9 once. As you see 9÷9 is just one whole. Any fraction over its same number is just 1.

Adding + = + = + 1 + = = 1 + = = ? ? = Add: Lets do some examples! 4 1 5 3 5 2 6 6 + = + = ? ? Add: 4 1 8 5 13 3 5 1 6 5 2 10 10 10 10 6 6 6 + 1 + = = = 1 + = = 10 is the LCD. Remember to simplify. Since the answer is an improper fraction you have to make it a mixed number. The denominators are the same so you can just add across. Simplify down.

Subtracting - = - = - = - = - = ? ? = Sub: Subtracting is the same as adding but taking away instead of adding. You have to have the same denominators here as well. 5 1 8 1 6 6 9 3 - = - = Sub: ? ? 5 1 4 2 8 1 8 3 5 6 6 6 3 9 3 9 9 9 - = = - = - = The denominators are the same so you can just subtract. Then make sure you simplify. LCD is 9. Now you can subtract.

Mixed Numbers Mixed numbers are similar once you get it into an improper fraction. To get to a fraction you multiply the whole number by the denominator and then add that new number to the numerator. 5 17 6 6 = = 2 2x6=12 +5=17 You don’t have to show the steps of multiplying and adding, I did just to show you how to make it an improper fraction.

Mixed Numbers = = 2 You have to simplify the improper fraction. To simplify a fraction you will determine how many times the denominator goes into the numerator. Then the left over number is the numerator. 17 5 6 6 = = 6x2=12 17-12=5 2 You don’t have to show the steps of multiplying and adding, I did just to show you how to make it a mixed number. Your whole number Left over number is now the numerator

Congratulations Go through the lesson again Go to home page You have finished the lesson! You can: Go through the lesson again Go to home page Take the quiz

Quiz Ready to show what you know? The quiz will test your knowledge. Answer correctly and you will breeze through this. If you get a question wrong, don’t worry because you will get another chance at it. To answer, click on the letter that you believe is the answer. Click the eraser to continue on. Do your best!

Question 1 A. C. B. D. Which of these is not a proper fraction? 1 3 2 17 A. C. B. 4 7 D. 15 3

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Question 2 A. B. C. What is an improper fraction? The numerator is less than the denominator The numerator is greater than the denominator B. It’s a whole plus a part C.

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Question 3 4 3 7 7 + = ? 7 14 A. C. 1 B. 7 D. 1 7

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Question 4 3 2 4 3 + = ? 5 12 A. 1 C. 5 7 B. 17 12 D. 5 12

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Be Careful Make sure you simplified your answer

Question 5 9 2 11 11 - = ? 11 A. C. 7 22 B. 7 11 D. 1

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Question 6 1 2 2 3 + = 3 2 ? 1 6 A. 6 C. 37 6 B. 5 7 6 D. 3 6

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Congratulations! You finished the quiz! You now know how to add and subtract fractions. You can go to the home page or view the credits.

Credits Background: Sounds: Ohio Standards: http://blackboardmktg.com/ http://www.vacancesfrancaises.com/en/slate-chalks-eraser/573-chalkboard-eraser-large.html Sounds: MS Word Ohio Standards: http://www.ode.state.oh.us/GD/Templates/Pages/ODE/ODEDetail.aspx?page=3&TopicRelationID=1696&ContentID=126041&Content=136600

Credits Extra Help: Need some help? Then try these websites which will give you some more help and more examples to do. http://www.internet4classrooms.com/skill_builders/fractions_math_fourth_4th_grade.htm http://www.coolmath4kids.com/fractions/