X = 0.045

Prove algebraically that x can be written as 1/22

The least decimal place in 0.045 is found in the thousandths place. Thus, if expressed as a fraction, it would be 45/1000. Let's substitute this to the equation:

x = 45/1000

1000x = 45

(1000/45) x = 1

When you divide 1000 by 45, the quotient would be 22.2222222 ... This could be round to the nearest whole number which is 22. Then,

22x = 1

x = 1/22

I hope I was able to answer your question. Have a good day.