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2 votes
Someone please help im stuck on this question

Someone please help im stuck on this question-example-1
User SaphuA
by
7.2k points

2 Answers

3 votes

Answer:


(91)/(22)

Explanation:

Given: 4.1363636...

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...

100x=413.63636 .....

We can write it in term of x

100x=x+409.5

On subtracting both sides by x

100-x=409.5

99x = 409 .5

On dividing both sides by 99

x=
(409.5)/(99)

x=
(4095)/(990)

x=
(819)/(198)

On dividing both number by 9

x=
(91)/(22)

Therefore, x =
(91)/(22)

User Allen Kim
by
6.7k points
4 votes

Explanation:

x = 4.13636363

100x = 413.636363

100x - x = 413.636363 - 4 .13636363

99x = 409.5

x = 409.5 / 99

User Giogre
by
7.1k points
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