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# What is 0.48 expressed as a fraction in simplest form? (just the 8 repeating)

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1. What is 0.48 expressed as a fraction in simplest form? (just the 8 repeating)
Apr 18, 2019

#1
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If I understand the question correctly, 48/100 reduces to 12/25.

Apr 18, 2019
#2
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What is 0.48 expressed as a fraction in simplest form? (just the 8 repeating)

Let y=0.4888888888.....

10y= 4.888888888...

y=0.4888888888....

subtract

9y = 4.4

$$y=\frac{4.4}{9}=\frac{44}{90}=\frac{22}{45}$$

$$0.4\dot8=\frac{22}{45}$$

You need to check my working.   :)

Apr 20, 2019
#3
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Let's see Melody...

We have $$4.\overline{8}=10*.4\overline{8}$$.

$$4.\overline{8}$$ can be rewritten as $$4 \frac{8}{9}$$, or $$\frac{44}{9}.$$

Then, we have $$\frac{44}{9}*\frac{1}{10}=\frac{22}{45}.$$

Yes, that is right...

Apr 21, 2019