Number and Operations – Fractions

5.NF.5, 5.NF.5b

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Amelia rode 8 _ 24

mile on the bike trail. Express in simplest form the

fraction of the distance that Amelia rode on the bike trail.

Divide the numerator and denominator by the same common factor. Continue dividing until the fraction is in simplest form.

8 _ 24

= 8 ÷ 2 _ 24 ÷ 2

= 4 _ 12

= 4 ÷ 4 _ 12 ÷ 4

= 1 _ 3

Since 1 and 3 have no common factors other than 1, stop dividing.

So, 8 _ 24

written in simplest form is 1 _ 3 .

Lesson 3

Simplest Form

Divide 8 and 24 by the common factor 2.

Divide the numerator and denominator by the common factor 4.

Simplify.

Simplify.

Practice

Write each fraction in simplest form. If the fraction is already in simplest form, write simplified.

1. 8 _ 9 2. 9 _

18 3. 26 _

32 simplified 1 _ 2 13 _ 16

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Problem Solving

4. 3 Find the Error Nicholas wrote thesteps below to simplify the fraction 20 _

30 . Find his error

and correct it.

20 _ 30 = 20 ÷ 5 _

30 ÷ 6 = 4 _ 5

5. Mr. Rolloson’s class had a board game tournament. Out of the 24 games played, Timeka won 10 games.Write 10 _

24 in simplest form.

Test Practice 7. Gil’s aunt cut his birthday cake into 32 equal pieces.

Eighteen pieces were eaten at his birthday party. What fraction of the cake was left?

A 7 _ 16

C 7 _ 12

B 9 _ 16

D 9 _ 14

Vocabulary Check

6. Fill in the blank with the correct term or number to complete the sentence.

A fraction is written in simplest form when the GCF of the

numerator and the denominator is .

Sample answer: Nicholas did not divide the

numerator and denominator by the same

number, the GCF. 4 _ 5 is not equivalent to 20 _ 30 .

He should have divided both numbers by

10. 20 _ 30 = 2 _ 3

5 _ 12

1

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Vocab

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