Reduce the fraction to lowest terms.
-5jk
________=
35j^2k^2
-1/(7jk)
Why did the scarecrow go to school?
To brush up on his fractions!
Now, let's reduce the fraction to lowest terms. We can cancel out the common factors between the numerator and the denominator. In this case, we can cancel out a factor of 5 and a factor of j from both the numerator and the denominator.
So, the reduced fraction is:
-1k
________
7jk
Ta-da!
To reduce the fraction to lowest terms, you need to find the greatest common factor (GCF) of the numerator and the denominator, and then divide both the numerator and the denominator by this GCF.
First, let's find the GCF of -5jk and 35j^2k^2.
The factors of -5jk are -1, 1, -5, 5, -j, j, -k, k, -jk, jk, -5j, 5j, -5k, 5k, -5jk, 5jk.
The factors of 35j^2k^2 are 1, 35, j, j^2, k, k^2, jk, k^2j, 35j, 35j^2, 35k, 35jk, 35k^2, 35j^2k, 35j^2k^2.
The common factors of -5jk and 35j^2k^2 are 1, j, k.
The GCF is jk.
Now, let's divide both the numerator and the denominator by jk.
(-5jk)/(35j^2k^2) = (-5/jk * jk)/(35j^2k^2 / jk) = (-5)/(35j) = -1/7j
Therefore, the fraction -5jk/35j^2k^2 reduced to lowest terms is -1/7j.
To reduce the given fraction (-5jk / 35j^2k^2) to its lowest terms, we need to simplify both the numerator and the denominator.
Let's start by simplifying the numerator (-5jk):
There are no common factors between -5, j, and k, so it cannot be simplified further.
Now, let's simplify the denominator (35j^2k^2):
Step 1: Break down the numerator and denominator into their prime factors.
35 = 5 * 7
j^2 = j * j
k^2 = k * k
Step 2: Cancel out the common factors between the numerator and the denominator.
In this case, there are common factors of j and k.
So, we can cancel out j from the numerator and denominator and k from the numerator and denominator:
(-5jk / 35j^2k^2) = (-5 * k / 35 * j)
After canceling out, we are left with:
-5k / 35j
Now, let's simplify further by reducing the fraction:
Both -5k and 35 are divisible by 5:
-5k / 35j = (-k / 7j)
Therefore, the fraction (-5jk / 35j^2k^2) in its lowest terms is (-k / 7j).