what is 4.1363636... as a fraction?

• PiaDeveau:

  Answer:

  x =  [tex]\frac{91}{22}[/tex].

  Step-by-step explanation:

  Given :  4.1363636...

  To find : Write as fraction .

  Solution : We have given that  

  Let   x  = 4.1363636...

  We can see number 36 ( 2 digit repeating ) so we will multiply it by 100

  On multiplying both sides by 100

  100x = 100 *  4.1363636...

  100 x = 413 .63636 .....

  We can write it in term of x

  100 x = x + 409 .5

  On subtracting both sides by x

  100 - x = 409 .5

  99 x = 409 .5

  On dividing both sides by 99

  x = [tex]\frac{409.5}{99}[/tex].

  x =  [tex]\frac{4095}{990}[/tex].

  x =  [tex]\frac{819}{198}[/tex].

  On dividing both number by 9

  x =  [tex]\frac{91}{22}[/tex].

  Therefore, x =  [tex]\frac{91}{22}[/tex].

• okpalawalter8:

  We have that the the Representation of 4.1363636 as fraction  is

  [tex]4.1363636=\frac{517}{125}[/tex]

  From the question we are told that:

  4.1363636. is in decimal form

  Fraction

  This is the representation of a number in the format of a numerator and a denominator

  Generally, the Representation of 4.1363636 as fraction is mathematically given by

  Having defined fractions we have that

  [tex]4.1363636 \approx 4.136[/tex]

  Therefore

  The 4.1363636 as fraction  is mathematically given by

  [tex]4.1363636=\frac{517}{125}[/tex]

  in conclusion

  The the Representation of 4.1363636 as fraction  is

  [tex]4.1363636=\frac{517}{125}[/tex]

  For more information on this visit

  https://brainly.com/question/10009813