Practical Problems
Fractions and Decimals
Order of Operations
Mixed Practice
(from Mr. Tillotson's class)
100

Mrs. Spence bought some grapes from a fruit stand along the side of the road. She paid $3.80 for the purple grapes and $1.82 for the white grapes. How much money did Mrs. Spence spend on grapes?

ANSWER IN A COMPLETE SENTENCE!!

Mrs. Spence spent $5.62 in total on grapes. 

(Step 1: add 3.80 + 1.82= 5.62)

100

Compare decimals using < , = , > 

5.43 > 5.27 (Greater Than) 

100

 Solve:

               9 + 2(7 – 5)

13

Step 1: G- (7-5) = 2

Step 2: M- 2 x 2= 4

Step 3: A- 9+ 4 = 13

100

Make a ratio for soccer balls to footballs.

2 : 6

200

If cashews cost $6.59 a pound, how much would it cost to buy four pounds of cashews?

ANSWER IN A COMPLETE SENTENCE!!

It would cost $26.36 for four pounds of Cashews. 

(Step 1: Multiply 6.59 times 4 and it equals 26.36 or you could take more time and just add 6.59 for times.)

200

Ms. Outlaw had a total of $100, in $20 bills. After spending $40 at the gas station she has 3 $20 bills left. What would Ms. Outlaw's fraction look like for the remaining $20 bills? 

3/5

Explained: remember part and whole relationships. 5 $20 bills make a $100. If I spent $40 (2 $20 bills) then I would have $60 left (3 $20 bills), so 3 is my part and 5 is my whole. 

200

Solve:

              4 + 9 ÷ 3 x 5 



19

Step 1: D- 9 ÷ 3= 3

Step 2: M- 3 x 5= 15

Step 3: A- 4 + 15= 19

200

Make a ratio for footballs to soccer balls.

6 : 2

300

Journey ran four laps around the track. She ran each lap in 3.7 minutes. How long did it take Journey to run around the track? 

ANSWER IN A COMPLETE SENTENCE!!

It took Journey 14.8 minutes to run four laps.

(Step 1: Multiply 3.7 times 4, it equals 14.8 or you could add 3.7 four times like we did during our closure last week.)

300

Here is 0.7 .

Write the fraction equivalent to the decimal model in simplest form. 

                                      ________

7/10

(Step 1: remember part and whole! There is 100 squares on the grid so 100 is you whole (denominator) and since there are 70 squares shaded; 70 is your part (numerator). 

Step 2: Then, you have to divide the part and whole by 10 to get your answer in simplest form. )

300

Solve:

                 10 – 23 + 2(3)

8

Step 1: E- 23= 2x2x2= 8

Step 2: M- 2 x 3=6

Step 3: S- 10 - 8=2

Step 4: A- 2 + 6=8

300

What number should be in the box in order to make a proportional relationship? 

20 

Explanation: the 1 turned to a 5 because you multiplied by 5, so you have to multiple the denominator by 5; (4 x 5)= 20. 

400

If Kayla, London, Kymani and Kaliyah made $28.52 for raking a yard, how much did they each make?

ANSWER IN A COMPLETE SENTENCE!!

Each of them made $7.13. 

(Step 1: 28 divided by 4 = 7; Step 2: 0.52 divided by 4= .13) 

400

Sarah ate 3/8 of a pie. Which decimal represents the amount of pie that is left? 

a. 0.375 

b. 0.625 

c. 0.325 

d. 0.675

a. 0.375  

(Fraction Anchor Chart (Cheat Sheet) ) 

400

What is the 3rd step in solving the question below? 

-27 - 5

Step 1: G (-16 + 13)= -3

Step 2: M 9 (-3)= -27

Step 3: -27 - 5

Answer: -32

400

Jameer watched 6 TikTok videos and 18 Instagram videos this morning. What is the ratio of TikTok to total videos?

6 : 18 or 6/18

500

Ms. Outlaw drove 59.7 miles today and 36 miles yesterday.  How many miles did Ms. Outlaw drive?

ANSWER IN A COMPLETE SENTENCE!!

Ms. Outlaw drove 95.70 miles altogether. 

(Step 1: you add 59.7 + 36= 95.70 )

500

Put the following fractions in descending order. 

2/5         1/2         1/8      3/10

1/2, 2/5, 3/10, 1/8 


(Step 1: Convert the fractions to decimals to make it easier to order them. 2/5= 0.40, 1/2=0.50, 1/8=0.125 and 3/10=0.30. 

Step 2: Place them in order from Greatest to Least (Descending) )

500

Solve

-12 

Step 1: G- (-16-5)= -21

Step 2: E 33= 3 x 3 x 3=27

Step 3: A 27 - (-21) (KSS) 27 + 21= 48

Step 4: A -6 + 2= -4

Step 5: Solve 48/-4 = -12

500

Does a proportional relationship exist between the amount of water and the amount of juice? If so, what is it ? 

Yes, dividing by 3. 

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