Home > Algebra > Division of Rational Expressions

How do you simplify #(3x+4)/12 div 8/(9x+12)#?

Answer 1

Isaiah Anthony

#(3x+4)^2/32#

#"change division to multiplication and invert"# #"(turn upside down)the second fraction"#

#(3x+4)/12xx(9x+12)/8#

#"factor where possible and "color(blue)"cancel "# #"any "color(blue)"common factors"#

#=(3x+4)/cancel(12)^4xx(cancel(3)^1(3x+4))/8#

#=(3x+4)^2/32#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eva Abramson

To simplify the expression (3x+4)/12 divided by 8/(9x+12), you can multiply the numerator by the reciprocal of the denominator.

The reciprocal of 8/(9x+12) is (9x+12)/8.

So, the expression simplifies to (3x+4)/12 multiplied by (9x+12)/8.

To multiply fractions, you multiply the numerators together and the denominators together.

Therefore, the simplified expression is ((3x+4)(9x+12))/(12*8).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.