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[tex]$\frac{- 4 \longdiv { 1 2 5 }}{- 6 \longdiv { - 3 6 }}=$[/tex]
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Response:
Calculate the following expression:

[tex]\[ \frac{-4 \div 125}{-6 \div -36} \][/tex]



Answer :

Sure, let's break it down step-by-step to solve the given expression:

We start with the expression:
[tex]\[ \frac{\frac{-4}{125}}{\frac{-6}{-36}} \][/tex]

First, let's simplify the numerator and the denominator separately.

Numerator:
[tex]\[ \frac{-4}{125} \approx -0.032 \][/tex]

Denominator:
[tex]\[ \frac{-6}{-36} \][/tex]
Since both the numerator and the denominator are negative, their signs cancel out:
[tex]\[ \frac{6}{36} = \frac{1}{6} \approx 0.16666666666666666 \][/tex]

So now, our expression looks like this:
[tex]\[ \frac{-0.032}{0.16666666666666666} \][/tex]

Next, we divide the simplified numerator by the simplified denominator:
[tex]\[ \frac{-0.032}{0.16666666666666666} \approx -0.192 \][/tex]

So, the final result is:
[tex]\[ \frac{\frac{-4}{125}}{\frac{-6}{-36}} = -0.192 \][/tex]

By breaking it down step-by-step, we've solved the expression to get the final result of approximately [tex]\(-0.192\)[/tex].