SOLUTION: Hello tutors! I know that I need to make the whole here, but I do not know how to explain this. Maybe a number line? Please help and I am grateful. Thank you. Problem #3)Whi

Question 1186578: Hello tutors! I know that I need to make the whole here, but I do not know how to explain this. Maybe a number line? Please help and I am grateful. Thank you.

Problem #3)Which is closer to one, 7/8 or 8/7?
Explain without converting to decimals or using common denominators.

Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
.
Which number is closer to one, 7/8 or 8/7?
Explain without converting to decimals or using common denominators.
~~~~~~~~~

Notice that    is    of a unit less than 1.


So,     is    of a unit to the left from 1.  
 
      Therefore,     is remoted     of a unit from 1.




Next,    is    of a unit greater than 1.


So,     is    of a unit to the right from 1.  

      Therefore,     is remoted    of a unit from 1.



Since    is less  than  ,  we see,  that    is CLOSER to  1  than  .

Solved and explained.

RELATED QUESTIONS
I need to rewrite the equation so that y is a function of x but I do not know how to do... (answered by Theo)

Hello Tutors, I need your help here Please. I can not for the life of me figure out how... (answered by bucky)

Hello I need help on some homework i do not understand its about number lines here is... (answered by checkley71)

3x+4=12x+5 This is what I"ve tried but don't know if I'm right. Plus I need to know... (answered by josgarithmetic,MathTherapy)

If m - 1 is a positive number, which of the following must represent an odd integer that... (answered by richard1234)

sin[tan^-1(5/12)-sin^-1(-1)] I need to solve this equation for 0 (answered by lwsshak3)
Hello there, I need help with this math question. I know how to do the question but I... (answered by josgarithmetic)
I have to draw a triangle in order to show the actual problem. I don't know how to do it... (answered by addingup)
Hello, I need help solving this equation please. It is supposed to be written in... (answered by Alan3354,hoomanc,ankor@dixie-net.com,solver91311)