Simplify the Expression: xyz/(3x·4y·5z) Step-by-Step Solution

Simplify the following expression:

$x\cdot y\cdot z/(3x\cdot4y\cdot5z)=\text{?}$

First let's write the exercise as a fraction:

$\frac{x\times y\times z}{3x\times4y\times5z}=$

Then we'll cancel out the x, the Y, and the z from both the numerator and denominator of the fraction:

$\frac{1}{3\times4\times5}=$

Then, we'll multiply the expression in the denominator from left to right:

$\frac{1}{3\times4\times5}=\frac{1}{12\times5}=\frac{1}{60}$