thaywatchinjay thaywatchinjay
  • 21-08-2020
  • Mathematics
contestada

convert 2.16161616 to a rational number in the form of a/b

Respuesta :

jimrgrant1 jimrgrant1
  • 21-08-2020

Answer:

[tex]\frac{214}{99}[/tex]

Step-by-step explanation:

We require to create 2 equations with the repeating digits after the decimal point. Then by subtracting them we eliminate the repeating part.

let x = 2.1616.... → (1)) ← multiply both sides by 100

100x = 216.1616..... → (2)

Subtract (1) from (2)

99x = 214 ( divide both sides by 99 )

x = [tex]\frac{214}{99}[/tex]

Answer Link

Otras preguntas

calculate the rate the rock falls at (Earth only)
Solve for x. Please:)
????????????????????
DUE SOON!!! Question in picture
-2.5 x 20 =? What is the answer
Before cameras, we relied heavily on _______________ to capture moments in time.
What are valence electrons? A. electrons found in the s or p orbitals of atoms B. electrons in the outermost level of each atom C. electrons in the innermost
When preparing a wet mount specimen for viewing, the specimen should be covered with:.
the ruler who was best known for defending religous freedom and promoting tolorance was ​
Kevin hired a moving company. The company charged $400 for its services, and Kevin gives the movers a 15% tip. How much does Kevin tip the movers