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3 years ago

What is 4.1363636… as a fraction?

Mathematics

2 answers:

il63 [147K]3 years ago

5 0

Answer:

x = $\frac{819}{598}$ .

Step-by-step explanation:

Given : 4.1363636…

To find : Convert it as fraction .

Solution : We have given 4.1363636…

Let x = 4.1363636…

On multiplying both sides by 100

100 x = 100 * 4.1363636…

100 x = 413 .63636...

We can convert it in term of x

100 x = 409 .5 + 4.1363636...

100 x = 409.5 + x

On subtracting both sides by x

100 x -x = 409.5

99 x = 409. 5

On dividing both sides by 99

x = $\frac{409.5}{99}$ .

x = $\frac{4095}{990}$ .

On dividing both sides by 5

x = $\frac{819}{598}$ .

Therefore, x = $\frac{819}{598}$ .

ehidna [41]3 years ago

4 0

I got 1 over 25 because you wanna turn the decimal into a percentage first

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