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Dominik [7]
4 years ago
14

Which simplified fraction is equal to 0.17 (7 repeating)

Mathematics
2 answers:
Varvara68 [4.7K]4 years ago
8 0
So here, I would first multiply 0.17777.... (Assume that that's x) by 10, then you get

10x = 1.777777...

And then subtract x from 10x and then you get 1.6.

So that means that 

10x - x = 9x

and 1.7777... - 0.17777... = 1.6

So now to solve for x, divide both sides by 9

To get 1.6/9 = x

Or 16/90 = x

Or 8/45 = x

(That explanation made no sense)
soldi70 [24.7K]4 years ago
5 0

Answer:

\frac{8}{45}

Step-by-step explanation:

We are given that

0.1\bar 7

We have to find the value in fraction of given rational number

Let x=0.1\bar 7

Multiply on both side by 10 then we get

10 x=1.77...

10x=1.6+0.1\bar 7

Substitute the value then we get

10x=1.6+x

10x-x=1.6

9x=1.6

x=\frac{1.6}{9}

x=\frac{16}{90}

x=\frac{8}{45}

Hence, the fraction =\frac{8}{45}

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