Show:
Positive or negative
dividing fractions
decimals
The Greatest
ratio ratio
100

(-4)(17)(-2)(-1)

negative

100

- 8/9 / 2/3

/ means divide

- 1 1/3

100

-0.056 / 0.004

-14

100

3.6,   -3 2/5, 20 1/2, -10.8

What is the greatest difference?  

20 1/2 - (-10.8) = 20.5 + 10.8 = 31.3 

Candy Cane

100

A runner decreases their time by 54 seconds in every 3 laps. What is the rate of time change per lap?

54 seconds/ 3 laps =18 seconds per lap

200

(-2)(-6)(1)

positive

200

3/10 / -6/7 

-7/20

200

- 9.28 / -3.2

2.9

Candy Cane

200

6.6, -4 3/5, 18 1/2, -12.4 

What is the greatest quotient? 

solve to tenths place

18 1/2 / 6.6 = 18.5 / 6.6 = 2.8

200

A kite is lifted 15 1/2 feet by the wind in 3 2/3 seconds. What is the change in elevation of the kite?


4.227 feet per second

3.6667 seconds/ 15.5 feet

300

-4 - (-8)

positive

300

-4 2/7 / -15/16

4 4/7

300

Jerry the monkey is hanging from a tree, holding a giant candy cane that is 14 1/4 inches long. He starts eating it at an impressive speed of 4 2/3 seconds per inch. If Jerry eats the candy cane at this rate, how long will it take him to finish the entire candy cane?

express to the thousandths place

14.25 inches × 4.6667 seconds per inch=66.67 seconds

300

Given the numbers:

  • 5.4
  • -3 2/3
  • 12 1/4
  • -9.8

What is the greatest sum?


5.4+12.25=17.65

300

A small plane ascends 31 7/8 feet in 10 3/4 seconds. What is the change in elevation of the plane?

2.965 feet per second

10.75 seconds/ 31.875 feet

400

9 + (-11)

negative

Candy Cane

400

-3 1/3 / 6/5 

-2 7/9

400

A tree's roots extend 8 5/8 feet beneath the ground. What is the depth of the roots in feet expressed as a decimal?

8+0.625=-8.625

it is beneath the ground -

400

Given the numbers:

  • 12.3
  • -5 1/4
  • 7 2/3
  • -8.5

What is the greatest difference between any two numbers?

12.3−(−8.5)=12.3+8.5=20.8

400

A hot air balloon rises 45 1/2 feet in 9 2/5 seconds. What is the change in elevation of the balloon?

4.8457 feet per second

9.4 seconds/ 45.5 feet

500


(-2)3

Negative

500

-3/2 / 0.5 

-3

500

A farmer needs to fill a water tank. The tank currently holds 12.75 gallons of water, and the farmer adds an additional 5/8 gallons. However, the farmer accidentally spills 3/4 of a gallon of water. How much water is in the tank now, expressed as a decimal?

  • Total water after addition:
  • 12.75+0.625=13.375 gallons
  • Subtract the water spilled:
    13.375−0.75=12.625
500

Given the numbers:

  • -12.6
  • 5/4
  • -3.5
  • 6.3

What is the greatest quotient when dividing any two numbers?

−12.6÷−3.5=3.6

500

Jerry the monkey eats a candy cane that is 14 1/4 inches long in 4 2/3 seconds. What is the rate at which Jerry eats the candy cane, in inches per second?

Challenge 

3.05 inches per second

4.6667 seconds/ 14.25 inches