# In center

What number lies in the center between a quarter of a fifth and a half of a third on the number axis?

Result

x =  0.108

#### Solution:

$a = \dfrac{ 1 }{ 4 } \cdot \ \dfrac{ 1 }{ 5 } = \dfrac{ 1 }{ 20 } = 0.05 \ \\ b = \dfrac{ 1 }{ 2 } \cdot \ \dfrac{ 1 }{ 3 } = \dfrac{ 1 }{ 6 } \doteq 0.1667 \ \\ \ \\ x = \dfrac{ a+b }{ 2 } = \dfrac{ 0.05+0.1667 }{ 2 } = \dfrac{ 13 }{ 120 } \doteq 0.1083 = 0.108$

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

#### Following knowledge from mathematics are needed to solve this word math problem:

Looking for help with calculating arithmetic mean? Looking for a statistical calculator? Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.

## Next similar math problems:

1. Numbers division
With what number should be divided mixed number 2 3/4 to get 11/12?
2. Barrel
Barrel of wine is filled by 9/14. What part of the barrel will remain filled when 1/4 of the wine we pour from the barrel?
3. Floating of wood - Archimedes law
What will be the volume of the floating part of a wooden (balsa) block with a density of 200 kg/m3 and a volume of 0.02 m3 that floats in alcohol? (alcohol density is 789 kg/m3)
4. Year 2020
The four-digit number divided by 2020 gives a result of 1, **. (Can not be in form 1,*0. ) Write all the options.
5. Dividing money
Vilem, Cenek, and Edita divided the money they earned by spreading the leaflet. Vilem got 240 CZK more than Cenek and twice more than Edita. Edita got 400kc less than Vilem.
6. Common divisors
Find all common divisors of numbers 30 and 45.
7. Garden
Area of a square garden is 6/4 of triangle garden with sides 56 m, 35 m, and 35 m. How many meters of fencing need to fence a square garden?
8. Forestry workers
In the forest is employed 56 laborers planting trees in nurseries. For 8 hour work day would end job in 37 days. After 16 days, 9 laborers go forth? How many days are needed to complete planting trees in nurseries by others, if they will work 10 hours a d
9. Bonus
Gross wage was 527 EUR including 16% bonus. How many EUR were bonuses?
10. Troops
The route is long 147 km and the first-day first regiment went at an average speed of 12 km/h and journey back 21 km/h. The second day went second regiment the same route at an average speed of 22 km/h there and back. Which regiment will take route longe
11. Cheops pyramid
The Pyramid of Cheops is a pyramid with a square base with a side of 233 m and a height of 146.6 m. It made from limestone with a density of 2.7 g/cm3. Calculate the amount of stone in tons. How many trains with 30 twenty tons wagons carry the stone?
12. The cuboid
The cuboid is filled to the brim with water. The external dimensions are 95 cm, 120 cm, and 60 cm. The thickness of all walls and the bottom is 5 cm. How many liters of water fit into the cuboid?
13. 45th birthday
This year Mrs. Clever celebrated her 45th birthday. Her three children are now 7.11 and 15 years old. In how many years will Mrs. Clever's age be equal to the sum of her children's years?
14. Kilowatt-hours
If the Lewis family used 648 kilowatt-hours of electricity in 12 days, how many kilowatts hours should they use in 24 days at the same rate of usage
15. Coal mine
The towing wheel has a diameter of 1.7 meters. How many meters does the elevator cage lower when the wheel turns 32 times?