Video Transcript

Hello. So below we allow X be equal to 3.9 to 9 to 9 to 9 come repeating. And then we're walk to execute is just subtract X native 100 X. Due to the fact that 100 X. So if this is X climate 100 X. Is simply going come be equal to 392.92 Oops 0.9 to um 9 come 9 come repeating. And then if we subtract away X. For this reason minus X. Which is going increase minus X. I m sorry is going come be equal to uh 3.9 to 9 to nine to repeating. Okay well the 90.92 is are all going come subtract far we're simply left through while 100 x minus X is 99 X. So therefore that 99 X is going come be same to just 3 92 minus three. Therefore 99 X is going to be equal to 389. And also then thus we can go ahead and also subtract through below by 99 To offer us that X. Is same to just 389 end 39. Yeah wow. Oh




You are watching: Express the repeating decimal as the ratio of two integers

*

*

*

Upgrade this particular day to get a an individual jajalger2018.org skilled Educator answer!


*

*



See more: Which Of The Following Is Designated As A Mooring Buoy ? How To Use A Mooring Buoy

Precalculus testimonial - Intro

In mathematics, precalculus is the research of attributes (as opposed to calculus, i m sorry is the research of change, and algebra, i beg your pardon is the research of operations and their applications to solving equations). It is generally considered to be a part of mathematics that prepares students because that calculus.


features on the real Line - outline

In mathematics, a duty (or map) f indigenous a collection X to a collection Y is a rule which assigns come each aspect x that X a unique facet y that Y, the worth of f in ~ x, such the the following problems are met: 1) for every x in X over there is exactly one y in Y, the worth of f in ~ x; 2) If x and also y are in X, then f(x) = y; 3) If x and also y space in X, climate f(x) = f(y) suggests x = y; 4) for every x in X, over there exists a y in Y such that f(x) = y.