# simplify comples fractions.

w+3/4w-----w-3/2w it is w-3 over 4w over w-3 over 2w

q/f divided by t/u is the same as

q/f multiplied by u/t, or qu/ft

Division is the reciprocal of multiplication.

q/f divided by t/u is the same as

q/f multiplied by u/t, or qu/ft

Division is the reciprocal of multiplication.

## To simplify complex fractions, we need to follow a few steps:

Step 1: Find the reciprocal of the denominator of the complex fraction. In this case, the denominator is (w-3)/(2w). So the reciprocal is 2w/(w-3).

Step 2: Rewrite the complex fraction as a product of the numerator and the reciprocal of the denominator. Multiply the numerator (w-3)/(4w) with the reciprocal (2w)/(w-3).

(w-3)/(4w) * (2w)/(w-3)

Step 3: Simplify the expression. Cancel out common factors between the numerator and the denominator.

(w-3)/(4w) * (2w)/(w-3) = (w-3)/(w-3) * (2w)/(4w)

Since (w-3)/(w-3) is equal to 1, we can remove it from the expression:

= 1 * (2w)/(4w)

Step 4: Simplify the remaining fraction, if possible. In this case, we can simplify the expression further by canceling out a common factor of 2:

= 1/2

So, the simplified form of the complex fraction (w+3)/(4w) divided by (w-3)/(2w) is 1/2.