Equivalent Fractions

EQ: How do we know fractional parts are equivalent?

Review

• Fractions represent a part of a whole• Fractions can be represented in

many ways–Numbers (Numerator and Denominator)

–Pictures

–Number line

• Fractions are used in everyday life

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0 11/21/4 3/4

PracticeWhat fractions do you see?

C C

C

C

C

C C C

C

C C C

C

C C C C

C

Equivalent FractionsTo be equivalent means to be EQUAL

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How can we make equivalent fractions?

Multiply both the numerator and denominator by the same number.

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X 2X 2

How can we make equivalent fractions?

We can use area models.

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Practice• Use scissors to cut your fraction strips– DO NOT CUT UP THE FRACTION SECTIONS!

• Use the fourths and eighths strips to answer the following question:–Ms. Carr baked two cakes for her classes. She cut

one cake into four equal pieces and the other into eight equal pieces. Jamario received a 1/4 sized slice. Damiana received 2/8 slices. Did the students receive the same amount of cake? Be able to justify your answer!

PracticeFraction Strip How many

pieces?EquivalentFraction

1/2 2 1/2 = 2/4

1/ 3 3 1/3 = 2/6

1/ 4    

1/5

1/6

1/8 8 4/8 = 2/4

1/10

1/12

Exit Ticket1. Fill in the blank: EQUIVALENT means the same as

____________.2. Use multiplication to find equivalents of the

following fractions.– 1/4– 3/5– 2/3

3. Use area models to find equivalents of the following fractions.

Center 2Fraction Equivalent

FractionPicture

   

Exit Ticket1. Fill in the blank: If one fraction is EQUAL to another,

that means the two fractions are ____________.2. Use multiplication to find equivalents of the

following fractions.– 2/6– 1/3– 5/7

3. Use area models to find equivalents of the following fractions.

Review

• What are equivalent fractions?– Khan Academy - Equivalent Fractions

So, if Ms. Carr ate 1/2 of a pizza and Ms. Bolton ate 4/8 of her pizza, did they eat the same amount of pizza? How do you know?

What if Ms. Riley ate 3/4 of a candy bar and Mr. Toliver ate 6/8 of a candy bar; did they eat the same amount of candy? How do you know?

How can we identify equivalent fractions?

• Putting the fractions in SIMPLEST FORM;– A fraction is in simplest form when 1 is the only

number that divides both the numerator and denominator with no remainder

• How do we put a fraction into it’s simplest form?– LearnZillion - Simplifying Fractions

Practice with fractions in Simplest Form

• What steps do I take to put 4/16 into simplest form?

• Find the factors of the number 4 – they are 1, 2, and 4• Find the factors of the number 16 – they are 1, 2, 4, 8, and 16• Find the GREATEST COMMON FACTOR – it is 4• Divide the numerator and denominator by the GREATEST COMMON FACTOR• What is the new fraction?

Practice

• With a partner, complete numbers 1 – 10 of worksheet, both sides.

Exit Ticket• Determine whether the following fractions are

equivalent.1. 2/5 and 4/102. 1/3 and 2/5

• Create an equivalent fraction for each of the following fractions.3. 3/4 4. 5/7

• Simplify each of the following fractions.1. 2/42. 5/153. 3/27

Exit Ticket• Determine whether the following fractions are

equivalent.1. 3/5 and 7/102. 5/6 and 10/12

• Create an equivalent fraction for each of the following fractions.3. 1/4 4. 2/5

• Simplify each of the following fractions.1. 4/82. 3/153. 12/18