Fraction Equivalence & Ordering

Equivalent Fractions

100

List 3 fractions that are equivalent to 4/8.

Some possible answers are:

1/2, 3/6, 5/10, 8/16 

200

Look at the model drawn on the board. Name two equivalent fractions for the part that is shaded.

two possible answers: 1/4 and 4/16

300

Decide if each statement is true or false:

1.     1/4 = 4/12

2.     1/3 = 4/12

3.     1/6 = 3/18

1.  False

2. True

3. True

400

Is 5/12 equivalent to 1/2? Show how you know. 

No, 5/12 is not equivalent to 1/2. I know because 6/12 = 1/2 so 5/12 < 1/2.

500

Place 3/6 on a number line. What is one equivalent fraction for 3/6? Place your equivalent fraction on a number line as well. 

Will check boards. Equivalent fraction should be in the same place on the number line as 3/6. 

Comparing Fractions

100

Decide if the comparison is TRUE or FALSE and show how you know. 

4/8 =  12/24

True because both fractions are equivalent to 1/2

                         OR

True because if you multiply the numerator and denominator of 4/8 both by 3 you get 12/24.

200

Compare the fractions using <, >, or =.

          7/8                     2/6

Tell how you compared them.

7/8 > 2/6

I compared them using the benchmark fraction 1/2. 7/8 > 1/2 and 2/6 < 1/2, so 7/8 must be greater than 2/6.

300

Find a common denominator to compare the fractions.

            3/4                 5/8

3/4 = 6/8

6/8 > 5/8, so 3/4 > 5/8

400

Use these numbers to make the inequality true:

4, 2, 10, 6

               ?/?  <  ?/?

One possible answer:

2/10 < 4/6

500

Compare the fractions using <, >, or =. 

      4/6           3/10

Then, tell how you compared them without common denominators.

4/6 > 3/10

I used 1/2 as a benchmark fraction. 4/6 is greater than 1/2, but 3/10 is less than 1/2, so 4/6 must be greater than 3/10.

Ordering Fractions

100

Place 1/4, 2/4, 3/4 and 4/4 on a number line. 

Will check boards for accuracy. 

200

Put the fractions in order from least to greatest. 

1/4, 1/3, 1/12, 1/2

1/12, 1/4, 1/3, 1/2

300

Put the fractions in order from greatest to least:

3/6,  12/8,   1/4,  6/8

12/8, 6/8, 3/6, 1/4

400

Jenny has 4/5 of a cookie. Robby has 1/3 of a cookie. Billy has 7/8 of a cookie. Ally has 1/2 of a cookie. List the amounts of cookie from greatest to least.

7/8, 4/5, 1/2, 1/3

500

I have: 

5/6 cup of orange juice

1/2 cup of apple juice

11/12 cup of berry juice

1/8 cup of grape juice

List the JUICES I have from least to greatest. 

grape juice, apple juice, orange juice, berry juice