Simplify: 35ab/105bc
Well, let's break it down.
35ab/105bc can be simplified by dividing both the numerator and the denominator by the greatest common factor, which is 35b.
So, dividing 35ab by 35b, we get a. And dividing 105bc by 35b, we get 3c.
Therefore, 35ab/105bc simplifies to a/3c.
And that's the simplification of 35ab/105bc! Now you have a simpler fraction to work with.
To simplify the expression 35ab/105bc, we can start by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 35ab and 105bc is 35b. So, dividing both the numerator and denominator by 35b, we get:
(35ab)/(105bc) = (35b * a)/(35b * c)
Now, we can cancel out the 35b from both the numerator and the denominator:
(35b * a)/(35b * c) = a/c
Therefore, the simplified form of 35ab/105bc is a/c.
To simplify the expression 35ab/105bc, we can cancel out the common factors in the numerator and denominator.
First, let's factorize the numerator and denominator:
35ab can be written as 5 * 7 * a * b
105bc can be written as 5 * 7 * 3 * b * c
Now, let's cancel out the common factors:
35ab/105bc = (5 * 7 * a * b) / (5 * 7 * 3 * b * c)
We can cancel out the 5, 7, and b from both the numerator and denominator:
= (a) / (3 * c)
Finally, we can simplify the expression as:
35ab/105bc = a/3c