Divide and simplify
-35+7w / 121w-605
______ __________
5 25
I know you invert the second half of the equation to multiply and then I am stuck.
Switch the first half around so it's 7w-35.
Then factor: 7(w-5)/121(w-5)
Then cancel: 7/121
Then simplify.
I think you meant to type:
(-35 + 7w)/5 divided by (121w - 605)/25
We have a complex fraction here.
We invert (121w - 605)/25 to become
25/(121w - 605) and then we multiply by the left side fraction just like you did back in grammar school
We now have this:
(-35 + 7w)/5 times 25/(121w - 605)
We factor the quantities (-35 + 7w) and (121w - 605).
Then:
(-35 + 7w) can be written 7w - 35 and after we factor it becomes 7(w - 5).
After we factor 121w - 605, it becomes 121(w - 5)
We now have this fraction:
7(w - 5)/5 times 25/121( w - 5)
We can now cancel to get:
35/121
Done!
To divide and simplify the expression, you are correct in saying that you need to invert the second part of the equation and then multiply. Here are the steps to divide and simplify the expression (-35+7w) / 5 divided by (121w - 605) / 25:
Step 1: Simplify the numerator and denominator separately.
-35 + 7w simplifies to 7w - 35.
121w - 605 simplifies to 11(11w - 55).
Step 2: Invert the second fraction.
Now, we need to invert the second fraction, which means taking the reciprocal of the fraction.
The reciprocal of (11w - 55) / 25 is 25 / (11w - 55).
Step 3: Multiply the two fractions together.
To multiply the fractions, you simply multiply the numerators together and the denominators together.
So, (7w - 35) / 5 * 25 / (11w - 55) becomes:
(7w - 35) * (25 / (11w - 55))
Step 4: Simplify the expression further.
To simplify, you can distribute the 25 to both terms in the numerator:
(7w * 25 - 35 * 25) / (11w - 55)
Which simplifies to:
(175w - 875) / (11w - 55)
And there you have it! The expression (-35+7w) / 5 divided by (121w - 605) / 25 simplifies to (175w - 875) / (11w - 55).