Fractions
Decimals
Word Problems
Greater than, Less than, or Equal?
Challenge
200

Write two different equations for 1 ⅜ that are all true.

7/8 + 4/8= 1 ⅜ 

6/8 + 5/8= 1 ⅜

1⅛ + 2/8= 1 ⅜ 

200

Write the fraction as a decimal number.

39/100

0.39

200

Eric says that 3/10 of the mat is shaded in. Nick says that 30/100 is shaded in. Who is right? Show your thinking.  

They are both right.

3/10 = 30/100

200

Fill in the blank with <, >, or =

0.04_________0.4

0.04 < 0.4

400

Is this equation true? 1 ⅜ = 8/8 + ⅜

Yes!

8/8= 1

1 + ⅜= 1 ⅜

400

Write the fraction as a decimal number.

8/10

0.8 or 0.80

400

Joe made 2 pans of brownies that were the same size. He cut the first pan into 8 equal pieces and gave 2/8 to his uncle. He cut the second pan into 12 equal pieces and gave 3/12 to his neighbor. His sister Meg said that wasn’t fair because his neighbor got more brownies than his uncle. Joe said they got the same amount.

Who is right and why? Show your thinking.

Joe is correct, they are equal.

2/8 x 3= 6/24

3/12 x 2= 6/24

400

Fill in the blank with <, >, or =

75/100____ 7/10

75/100 > 7/10

600

Subtract

1 ⅕ - ⅗  =

3/5

600

Write the fraction as a decimal number.

4/100

0.04

600

Part 1: John ran 23/100 of a mile yesterday. His friend Noelle ran 3/10 of a mile. Who ran farther? Show your thinking.


Part 2: How much of a mile did they run in all?

Part 1: Noelle ran more. 3/10= 30/100

Part 2: 23/100 + 30/100= 53/100

600

Fill in the blank with <, >, or =

0.2_____2.0

0.2 < 2.0

800

Add

2/10 + 3/10 + 15/100 =

2/10 + 3/10 + 15/100 = 65/100

800

Write the fraction as a decimal number.

16/100

0.16

800

Tommy ate ½ of a mini pizza. Chuck ate ¼ of a giant pizza. Angie said that Tommy ate more pizza than Chuck because ½ is always more than ¼. Do you agree with Angie? Show your thinking.

No, 1/4 of a GIANT pizza is bigger than 1/2 of a SMALL pizza.

800

Fill in the blank with <, >, or =

0.30______0.3

0.30 = 0.3

1000

Add

3 3/6 + 2 ⅙  =

5  4/6

1000

Write the fraction as a decimal number.

1/2

0.5 or 0.50

1000

There are 6 people in the Jones family. For dinner, each person will each get ¼ pound of pasta. How much pasta will they need to buy to have enough?

Show how you can solve this problem using multiplication.

6 x 1/4 = 6/4 = 1  2/4

1000

Fill in the blank with <, >, or =

4/12____ ⅜

4/12 = ⅜

1000

DOUBLE POINTS

Part 1: A 4th grade class are painting a mural in the school. They started with 3 ¼ gallons of paint. That was not enough. A parent brought them another 2 ¾ gallons of paint. How much paint do they have in all?

Part 2: In the end, it only took 4 6/8 gallons of paint to cover the wall. How much paint was left over?

Part 1: 3 ¼ + 2 ¾= 5  4/4= 6 gallons

Part 2: 5  8/8 - 4  6/8= 1  2/8 gallons

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