How do you multiply (r-4)/(5r)=(1/(5r)) + (1)r−45r=(15r)+(1)? Algebra Rational Equations and Functions Clearing Denominators in Rational Equations 1 Answer Don't Memorise May 21, 2015 (r-4)/(5r)=(1/(5r)) + (1)r−45r=(15r)+(1) (r-4)/(5r) -1/(5r) = 1 xx (5r)/(5r)r−45r−15r=1×5r5r (r-4)/(5r) -1/(5r) = (5r)/(5r)r−45r−15r=5r5r (r-4 -1)/cancel(5r) = (5r)/cancel(5r) r-5 =5r -5 =4r r = -5/4 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 3469 views around the world You can reuse this answer Creative Commons License