ZackAttack09
ZackAttack09 ZackAttack09
  • 18-11-2019
  • Mathematics
contestada

What is 0.16, 16 repeating as a simplified fraction?

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 18-11-2019

Answer:

16/99

Step-by-step explanation:

Since the repeating pattern has 2 digits, use 10^2 which is 100.

Let x = 0.161616...

Then 100x = 16.161616...

  100x = 16.161616...

-       x =   0.161616...

----------------------------

    99x = 16

x = 16/99

Answer: 0.161616... = 16/99

Answer Link
devishri1977
devishri1977 devishri1977
  • 18-11-2019

Answer:

Step-by-step explanation:

x = 0.1616.....

100x = 16.1616.......

100x - x  = (16.16....)  - (0.1616.....)

99x = 16

x = 16/99

Answer Link

Otras preguntas

What is 32/44 in its simplest form?
The length of a rectangle is 5 greater than 3 times the width. The area of the rectangle is 22cm. Find the length and the width. (SHOW STEPS)
If a square room is 784 square feet what is the length of each wall
How did Elizabeth 1st defeat the Spanish Armada?
If 2(x – 5) = –11, then x = ?
Two strings of equal length are stretched out with equal tension. The second string is four times as massive as the first string. If a wave travels down the fir
What is a sentence with the word geology???
Which sentence does not contain any punctuation errors?   A. This is a familiar story; it needs no introduction.
Which expression represents y⁴ - 36 in simplest factored form? A. ( y² + 4)( y² - 9) B. ( y² + 4)( y - 3)( y + 3) C. ( y² + 6)( y² - 6) D. ( y⁴ - 36)( y +1)
This element is a liquid at room temperature. (A) Hg (B) Th (C) Na (D) Cl (E) Co