Woot, Equivalent Fractions
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Yay, Comparing Fractions
Beloved Benchmark Fractions
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100

List 2 fractions equivalent to 1/2.

The numerator is half of the denominator.

Examples: 4/8 3/6 6/12 5/10 2/4

100

Mr. Hagemann ate 4/5 slices of pizza. 

How many slices was the whole pizza cut into?

5 Slices. (Look at the denominator).

100

Is this true 3/3 > 5/4? Why or why not?

No because 3/3 equals 1 and 5/4 is greater than one since the numerator is greater than the denominator.

100

Use the benchmark fraction 1/2 to compare 2/8 and 9/10. Which one is greater?

9/10

100

Order these fractions from least to greatest 1/3 3/5 4/8

1/3 4/8 3/5

200

What are 2 fractions equal to 9/9

Any fraction that has the same number in the numerator and the denominator.

200

If Mrs. DiCataldo had 3 slices of pizza and the pizza was cut into 9 slices, what fraction of the pizza did she eat?

3/9 of the pizza.

200

Is this true 2/8 = 1/4? Why?

Yes because when you divide 2/8 by 2/2, it equals 1/4.

200

Use 1 to determine which one is greater,  4/5 or 5/4?  Explain.

5/4

200

Explain how to use division to find a equal fraction for 8/12

You can do divided by 4 to get 2/3. 

You can do divided by 2 to get 4/6.

(Either one will do)

300

What are 3 fractions equal to 1

9/9 8/8 7/7 6/6 5/5 4/4 3/3 2/2

300

Mrs. B. and Spongebob were sharing a chocolate cake that was cut up into 5 slices. Mrs. B. ate 2 slices and Spongebob ate 3 slices.  What fraction of the cake did they eat altogether?

5/5

And then Mrs. B needed to walk 2,000 more steps for the day.

300

Is this true 2/8 > 3/6?  Explain why or why not.

No because 3/6 equals 1/2, a benchmark fraction, which is further from zero on the number line than 2/8.

300

Use the benchmark fraction 1/2 to determine if 4/8 is greater than 2/6. Explain.

4/8 is greater than 2/6 because 4 is half of 8, but 2 is less than 3 which is half of 6. 

300

Explain why 8/7 is greater than 1

8/7 the numerator is greater than the denominator. 

400

What are 2 fractions that are equivalent to 2/8?

Examples: 

Use division: divide by 2/2 = 1/4

Use multiplication: multiply by 3/3 = 6/24


400

Batman and Wonderwoman were sharing a high protein bar that was cut up into 9 pieces before they went out once again to save the planet.  They both ate 4 pieces.  What fraction was leftover for Robin?

1/9 of the protein bar.  Poor Robin.

400

Is this true?  Benchmark fractions are the only way to compare fractions.  Explain. 

No.  Models, number lines, multiplication, and division can also be used as strategies.

400

Use the benchmark fraction 1/2 to determine which is less than half. 

5/4   1/4   3/8   2/3    2/12

1/4   3/8   2/12

400

Explain why 2/3 is less than 1. 

2/3 the numerator is not greater than then denominator or the numerator is not the same number as the denominator. 

500

Explain why 5/5 is equivalent to 8/8.

5 divided by 5 = 1

8 divided by 8 = 1

Both equal 1 whole  even though the parts for 5ths are greater than 8ths

500

Ms. Mayhood, Mrs. B. and Lucy are sharing 20 cheeeeeeese sticks.  Mrs. B. and Ms. Mayhood ate 6 sticks altogether, and Lucy ate 9!  Then Mr. Hagemann came along and wanted the rest. What fraction was left for Mr. Hagemann?

5/20 were left for Mr. Hagmann and he was happy about it!

500

Is this true?  Explain why or why not.

11/12 >9/8

No, 9/8 is greater than one, 11/12 is less than 1.

500

Jingles meowed, "I know 1/4 is less than 1/2, so that means 3/12 is less than 1/2."  Does Jingles's reasoning make sense?  Explain.

Yes, Jingles is one smart kitty.

1/4 X 3/3 = 3/12 and both are less than 1/2.

500

Explain why 7/7 is equal to 1.

7/7 is equal to 1 because the numerator is the same number as the denominator.