Sure! Let's go through the detailed, step-by-step process to prove that [tex]\(\frac{195}{3250} \times 100\%\)[/tex] equals 6%.
1. Start with the given fraction:
[tex]\[
\frac{195}{3250}
\][/tex]
2. Convert the fraction to a decimal by performing the division:
[tex]\[
\frac{195}{3250} = 0.06
\][/tex]
3. Convert the decimal to a percentage:
To convert a decimal to a percentage, multiply by 100:
[tex]\[
0.06 \times 100 = 6
\][/tex]
4. Include the percent symbol:
[tex]\[
6 \%
\][/tex]
Thus, the calculation [tex]\(\frac{195}{3250} \times 100\%\)[/tex] is indeed [tex]\(6\%\)[/tex].
So, we have verified that:
[tex]\[
\frac{195}{3250} \times 100\% = 6\%
\][/tex]
This completes the proof.