Solve the Expression: 13⋅2x÷(4a⋅5/z) Step-by-Step

$13\cdot2x:(4a\cdot\frac{5}{z})=\text{?}$

Firstly, let's rewrite the exercise as a fraction:

$\frac{13\times2x}{4a}:\frac{5}{z}=$

Next, we'll factor out the 4 from the denominator of the first fraction into a smaller multiplication exercise and invert the second fraction to create a multiplication exercise:

$\frac{13\times2x}{2\times2\times a}\times\frac{z}{5}=$

We'll now reduce the 2 in the numerator and denominator of the first fraction:

$\frac{13\times x}{2\times a}\times\frac{z}{5}=$

We'll then multiply the two multiplication exercises:

$\frac{13\times x\times z}{2\times a\times5}=\frac{13xz}{10a}$

Finally, we divide 13 by 10 to get:

$1.3\frac{xz}{a}$