SOLUTION: Hello out there,I need some help with some tough problems,the first one is,Simplify:15/30.The next one is,Simplify:9/k+8/k.The third one is,Simplify:8t/21-5t/21.And the last one is

Algebra ->  Equations -> SOLUTION: Hello out there,I need some help with some tough problems,the first one is,Simplify:15/30.The next one is,Simplify:9/k+8/k.The third one is,Simplify:8t/21-5t/21.And the last one is      Log On


   

Question 117353: Hello out there,I need some help with some tough problems,the first one is,Simplify:15/30.The next one is,Simplify:9/k+8/k.The third one is,Simplify:8t/21-5t/21.And the last one is,Simplify:p/8+3p/8,thanks to whoever can help.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"Simplify:15/30"

Solved by pluggable solver: Reducing Fractions Calculator
In order to reduce 15%2F30, the numerator and denominator must share a common factor. This common number must evenly divide into both of them without any remainder or decimal.


In order to completely reduce the fraction, you must divide the numerator and the denominator by the greatest common factor (GCF). The GCF of 15 and 30 is (note: click here if you need help with finding the GCF). So divide both the numerator and denominator by



In other words, to reduce the fraction you do this
%28numerator%2FGCF%29%2F%28denominator%2FGCF%29=Reduced_Fraction



%2815%2F%29%2F%2830%2F%29 Plug in the numerator, denominator, and the GCF


%281%29%2F%2830%2F%29 Now divide 15 by to get 1. This is now the new numerator.


1%2F2 Now divide 30 by to get 2. This is now the new denominator.



So

%2815%2F%29%2F%2830%2F%29=1%2F2




This means that 15%2F30 reduces to 1%2F2



In other words, 15%2F30=1%2F2








"Simplify:9/k+8/k"


9%2F%28k%29%2B8%2F%28k%29 Start with the given expression


Since the denominators are all equal, we can combine the numerators

%289%2B8%29%2F%28k%29

Now combine like terms

%2817%29%2F%28k%29

So 9%2F%28k%29%2B8%2F%28k%29=%2817%29%2F%28k%29




#3

"8t/21-5t/21"

8t%2F21-5t%2F21 Start with the given expression


Since the denominators are all equal, we can combine the numerators

%288-5t%29%2F%2821%29


So 8t%2F21-5t%2F21=%288-5t%29%2F%2821%29


#4

"Simplify:p/8+3p/8"

p%2F%288%29%2B3p%2F%288%29 Start with the given expression


Since the denominators are all equal, we can combine the numerators

%28p%2B3p%29%2F%288%29

Now combine like terms

%284p%29%2F%288%29


%28p%29%2F%282%29 Reduce

So p%2F%288%29%2B3p%2F%288%29=%28p%29%2F%282%29