What is .5 ( 5 repeating) in a fraction ?

Hey there! I'm happy to help!

Let's say that our fraction is x.

x=0.5555555...

Let's get rid of the repeating stuff. If you multiplied x by 10, the fraction would be equal to 5.5555555

x=0.55555555

10x=5.5555555

What if we subtracted the first equation from the second? Then all of the repeating stuff would be gone!

9x=5

We divide both sides by 9.

x=5/9.

Have a wonderful day! :D

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

what? that isnt a question

step-by-step explanation: