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

Question

Simplify the following expression:

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

00:00 Solve

00:03 Let's write division as a fraction

00:09 Let's reduce what we can

00:20 Let's calculate 4 times 5

00:23 Let's calculate 3 times 20

00:27 And this is the solution to the question

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:

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

$\frac{1}{60}$