simplify 25yz/40xyz
25/40 = 5/8
y/y = 1
z/z = 1
5/(8x)
To simplify the expression 25yz/40xyz, we can divide both the numerator and the denominator by the greatest common factor (GCF) of the terms.
First, let's find the GCF of the terms 25yz and 40xyz:
25yz = 5 * 5 * y * z
40xyz = 2 * 2 * 2 * 5 * x * y * z
The GCF of the two terms is 5yz.
Now, let's divide both the numerator and the denominator by 5yz:
25yz/40xyz = (25yz)/(40xyz) = (5 * 5 * y * z) / (2 * 2 * 2 * 5 * x * y * z) = (5 * 5)/(2 * 2 * 2 * x) = 25/8x.
Therefore, the simplified expression is 25/8x.
To simplify the expression 25yz/40xyz, we can cancel out common factors in both the numerator and the denominator.
First, let's factorize the terms:
25yz = 5 * 5 * y * z
40xyz = 2 * 2 * 2 * 5 * x * y * z
Now, let's cancel out the common factors:
25yz/40xyz = (5 * 5 * y * z) / (2 * 2 * 2 * 5 * x * y * z)
We can now cancel out the common factors:
= (5 * 5 * y * z) / (2 * 2 * 2 * 5 * x * y * z)
= (5 * 5 * z) / (2 * 2 * 2 * x)
= (25z) / (8x)
So, the simplified form of 25yz/40xyz is 25z/8x.