Subtract. Simplify if possible.
v-7/v-2v-9/5v. Thank you for your help.
Did you mean
(v-7)/v - (2v-9)/v ??
confirm please by using brackets.
I'm sorry, I forgot the 5, it was 5v.
It didn't have brackets, that's why I didn't put any, but it goes like this:
Subtract. Simplify if possible.
v-7/v -2v-9/5v.
Note: the slashes mean fraction form, in other words, it's v-7 on the top and v, alone in the bottom. The same goes for 2v-9, this goes on top and 5v in the bottom, fraction form. Thank you, before hand.
You are missing my point, I know the / is division
The way you typed it, it means:
v -(7/v) - 2v - (9/5)(v)
I have a feeling you meant:
(v-7)/v - (2v-9)/(5v)
so the common denominator is 5v
then
5(v-7)/(5v) - (2v-9)/(5v)
= (5(v-7) - (2v-9))/(5v)
= (5v - 35 - 2v + 9)/(5v)
= (3v - 26)/(5v)
To subtract the given fractions, we need to have a common denominator. The denominators in this case are (v - 7) and (v - 2)(v - 9)/5v.
To find the common denominator, we need to determine the least common multiple (LCM) of the two denominators.
The factors of (v - 7) are (v - 7), and the factors of (v - 2)(v - 9)/5v are (v - 2)(v - 9), 5, and v.
The LCM will be the product of the highest power of each common factor. In this case, it will be (v - 2)(v - 9) * 5 * v.
Now let's rewrite the fractions with the common denominator:
(v - 7) / [(v - 2)(v - 9) * 5v] - (v - 2)(v - 9) / 5v
Next, we can subtract the fractions by following these steps:
1. Distribute the numerator of the first fraction: (v - 7) / [(v - 2)(v - 9) * 5v] - [(v - 2)(v - 9) * 1] / 5v
2. Simplify the numerators of both fractions: v - 7 - (v^2 - 11v + 18) / 5v
3. Combine like terms: v - 7 - (v^2 - 11v + 18) / 5v
4. To simplify the expression further, we can expand the numerator of the second fraction and distribute the minus sign: v - 7 - (v^2 - 11v + 18) / 5v = v - 7 - v^2/5v + 11v/5v - 18/5v
5. Simplify the terms: v - 7 - v/5 + 11/5 - 18/5v
6. Combine like terms: v - v/5 - 7 + 11/5 - 18/5v
7. To combine the fractions, we need a common denominator of 5v: v - v/5 - 7 + 11/5 - 18/5v = 5v/5v - v/5 - 35/5 + 11/5 - 18/5v
8. Simplify the terms: 5v - v/5 - 35/5 + 11/5 - 18/5v
9. Combine like terms: (5v - v)/5 - 35/5 + 11/5 - 18/5v
10. Simplify further: 4v/5 - 7 + 11/5 - 18/5v
The resulting expression after simplifying is:
(4v - 18 - 7 - 18v)/5v
This can be simplified to:
(-14v - 11)/5v