-9+3w/11 divided by 25w-75/121
Do I need a Common denominator?
Would it be 121 as 11x11 is 121?
Do I then multiply the numeratos- -9+3w by 11 or do I do the addition of -9+3w for-12w?
No, in division and multiplication you do not need a common denominator.
Remember that when you divide by a fraction you instead multiply by the reciprocal of that fraction
so...
(-9+3w)/11 divided by (25w-75)/121
=(-9+3w)/11 * 121/(25w-75)
=3(-3+w)/11 * 121/(25(w-3))
=33/25 , with x not equal to 3
To simplify the expression (-9 + 3w/11) divided by (25w - 75/121), you are correct that finding a common denominator is helpful. In this case, the common denominator is indeed 121 because both fractions have denominators of 11 and 121 is the product of 11 multiplied by itself.
To find the numerator of the first fraction, (-9 + 3w/11), you need to multiply -9 by 11 and add it to 3w. This gives you -99w + 3w = -96w.
So, the expression becomes (-96w/11) divided by (25w - 75/121).
To divide fractions, you can use the following steps:
1. Keep the first fraction as it is.
2. Flip the second fraction (25w - 75/121) to be its reciprocal, which is 121/(25w - 75).
3. Multiply the two fractions: (-96w/11) * (121/(25w - 75)).
4. Simplify the numerator and denominator if possible.
Keep in mind that we will not fully simplify the expression at this point, as we are focusing on the specific steps you were asking about.
Let's summarize the steps so far:
1. Find a common denominator of 121.
2. Multiply the numerator of the first fraction by 11: -9 * 11 = -99. Then, add 3w to it: -99 + 3w = -96w.
3. The expression now becomes (-96w/11) divided by (25w - 75/121).
We will continue with the remaining steps in the next part of the explanation.