How do you multiply #1 + 5/(x-1)= 7/6#? Algebra Rational Equations and Functions Clearing Denominators in Rational Equations 1 Answer Don't Memorise May 9, 2015 # 1 + (5) /(x-1) = 7/6# # (5) /(x-1) = 7/6 - 1# # (5) /(x-1) = 7/6 - 6/6# # (5) /(x-1) = 1/6# on cross multiplying: # 5 xx 6 = 1 xx (x-1)# # 30 = x - 1# # x = 31# Answer link Related questions What is Clearing Denominators in Rational Equations? How do you solve rational expressions by multiplying by the least common multiple? How do you solve #5x-\frac{1}{x}=4#? How do you solve #-3 + \frac{1}{x+1}=\frac{2}{x}# by finding the least common multiple? What is the least common multiple for #\frac{x}{x-2}+\frac{x}{x+3}=\frac{1}{x^2+x-6}# and how do... How do you solve #\frac{x}{x^2-36}+\frac{1}{x-6}=\frac{1}{x+6}#? How do you solve by clearing the denominator of #3/x+2/x^2=4#? How do you solve #2/(x^2+2x+1)-3/(x+1)=4#? How do you solve equations with rational expressions #1/x+2/x=10#? How do you solve for y in #(y+5)/ 2 - y/3 =1#? See all questions in Clearing Denominators in Rational Equations Impact of this question 1372 views around the world You can reuse this answer Creative Commons License