Simplify: 96z/24xyz
96*1/24*x*y *z/z=4/xy
To simplify the expression 96z/24xyz, we can divide the numerator and denominator by their greatest common factor, which is 24z.
Dividing the numerator 96z by 24z, we get:
96z / 24z = (96/24)(z/z) = 4(1) = 4
Dividing the denominator 24xyz by 24z, we get:
24xyz / 24z = (24/24)(xyz/z) = 1(xy/1) = xy
Therefore, 96z/24xyz simplifies to 4/xy.
To simplify the expression 96z/24xyz, we need to cancel out any common factors in the numerator and the denominator.
Let's break down the terms in the expression:
The numerator is 96z, and the denominator is 24xyz.
In the numerator, we have 96 and z.
In the denominator, we have 24, x, y, and z.
Let's look for common factors between the numerator and the denominator:
The common factors are 24 and z.
To cancel out the common factors, we divide both the numerator and the denominator by them:
96z / 24xyz = (96 / 24) * (z / z) * (1 / x) * (1 / y)
Simplifying further:
96 / 24 = 4
z / z = 1 (since any number divided by itself equals 1)
So, the simplified expression is:
(4 * 1 * 1 * 1) / (x * y)
Which can be further simplified:
4 / (x * y)
Therefore, the simplified expression for 96z/24xyz is 4/(xy).