What is the algebra to go from t - t/(t+1) to t - 1 + 1/(t+1)? I tried the LCD but could not find that answer.?

Science & Mathematics by Anonymous 2018-07-06 01:03:35

Social Science

7 answers

Anonymous

no
Anonymous

t - (t / (t + 1)) = ((t + 1) - t) / (t + 1) = 1 / (t + 1)
Anonymous

You can follow these steps 1-t/(1+t) = 1- (1+t-t)/(1+t) Remove the upper bracket. 1-(1-t//(t+1))= 1-1+t/(1+t)
Anonymous
Anonymous

t/(t+1) = (t + 1 - 1)/(t+1) = (t+1)/(t+1) - 1/(t+1) = 1 - 1/(t+1) so t - t/(t+1) = t - ( 1 - 1/(t+1) ) = t - 1 + 1/(t+1)
Anonymous

This is tricky. First try equating the expressions and manipulate them til you get an identity. The true algebra way to do this problem is: t - t/(t+1) t + (-t + 1 - 1) / (t + 1) t + ((-t - 1) + 1) / (t+1) t + (-1(t+1) + 1) / (t+1) t + -1 + 1/(t+1)
Anonymous

t - t/(t+1) = t - (t+1-1)/(t+1) = t - (t+1)/(t+1)+1/(t+1) = t - 1 + 1/(t+1)