To solve the expression [tex]\( 6.3 \times 15 \div 3 + 6.8 - 28.09 \)[/tex] such that we obtain the value 46.25, we need to carefully place parentheses to change the order of operations appropriately. Let’s break down the problem step by step.
First, let's rewrite the expression considering how we might group terms to achieve the desired result:
[tex]\[ 6.3 \times \left( \frac{15}{3} \right) + 6.8 - 28.09 \][/tex]
1. Calculate the value within the parentheses first:
[tex]\[
\frac{15}{3} = 5
\][/tex]
2. Next, multiply [tex]\( 6.3 \)[/tex] by the result of the division:
[tex]\[
6.3 \times 5 = 31.5
\][/tex]
3. Now, add [tex]\( 6.8 \)[/tex] to the result of the multiplication:
[tex]\[
31.5 + 6.8 = 38.3
\][/tex]
4. Finally, subtract [tex]\( 28.09 \)[/tex] from the sum:
[tex]\[
38.3 - 28.09 = 10.209999999999997
\][/tex]
Hence, the expression [tex]\( 6.3 \times \left( \frac{15}{3} \right) + 6.8 - 28.09 \)[/tex] evaluates to approximately 10.21, not 46.25. This realization indicates that the expression might be formed semi-correctly but fails to yield the target value.
Therefore, more context might be required to obtain 46.25, and further attempts to group different terms robustly using parentheses or exploring alternative simplifications might give different expectations.
