Answer :

GinnyAnswer
Certainly! Let's solve the given problem step by step.

### Step 1: Understanding the problem

We have been given:
[tex]\[ \frac{0.863 \times 23}{2589} \][/tex]

### Step 2: Performing the multiplication

First, we need to multiply the decimal number [tex]\(0.863\)[/tex] by [tex]\(23\)[/tex].

[tex]\[ 0.863 \times 23 \][/tex]

The result of this multiplication is:
[tex]\[ 19.849 \][/tex]

### Step 3: Setting up the fraction

Now, we place the result of the multiplication over the denominator given in the problem.

[tex]\[ \frac{19.849}{2589} \][/tex]

### Step 4: Performing the division

Next, we divide the numerator [tex]\(19.849\)[/tex] by the denominator [tex]\(2589\)[/tex].

[tex]\[ 19.849 \div 2589 \][/tex]

The result of this division is:
[tex]\[ 0.007666666666666667 \][/tex]

### Step 5: Conclusion

So, when you simplify the expression [tex]\(\frac{0.863 \times 23}{2589}\)[/tex], you get approximately:
[tex]\[ 0.007666666666666667 \][/tex]

### Summary

The steps we followed were:
1. Multiply [tex]\(0.863\)[/tex] by [tex]\(23\)[/tex] to get [tex]\(19.849\)[/tex].
2. Set up the fraction [tex]\(\frac{19.849}{2589}\)[/tex].
3. Divide [tex]\(19.849\)[/tex] by [tex]\(2589\)[/tex] to get approximately [tex]\(0.007666666666666667\)[/tex].

Thus, the simplified result of the given expression is [tex]\(0.007666666666666667\)[/tex].

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