cristinarizek1
cristinarizek1 cristinarizek1
  • 21-09-2021
  • Mathematics
contestada

Write the repeating decimal 4.1363636 as a fraction.

Write the repeating decimal 41363636 as a fraction class=

Respuesta :

alexis24247 alexis24247
  • 21-09-2021
Answer: 91/22 that would be your answer
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kiniwih426
kiniwih426 kiniwih426
  • 21-09-2021

Answer:  

91/22.  

Step-by-step explanation:

4.1363636...

x = 4.1363636...  

100 x 4.1363636...

= 413 .63636 .....

Terms of x :

100 x = x + 409 .5

Subtracting both sides by x

100 - x = 409 .5

99 x = 409 .5

Dividing both sides by 99

x = 409.5/99 .  

x = 4095/990 .  

x =819/198  .

Dividing both numbers by 9

x = 91/22  .

Hope this helps!

-kiniwih426

Answer Link

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