To convert a mixed number to an improper fraction, we follow these steps:
1. Identify the mixed number: In this case, we have [tex]\(3 \frac{5}{7}\)[/tex].
2. Multiply the whole number by the denominator:
[tex]\[
3 \times 7 = 21
\][/tex]
3. Add the numerator to the product found in step 2:
[tex]\[
21 + 5 = 26
\][/tex]
4. Keep the same denominator of the original fraction:
[tex]\[
\text{Denominator} = 7
\][/tex]
So, the mixed number [tex]\(3 \frac{5}{7}\)[/tex] is converted to the improper fraction:
[tex]\[
\frac{26}{7}
\][/tex]
Now, we compare this result to the given options:
A. [tex]\(\frac{26}{7}\)[/tex] \
B. [tex]\(\frac{27}{7}\)[/tex] \
C. [tex]\(\frac{25}{7}\)[/tex] \
D. [tex]\(\frac{25}{8}\)[/tex]
The correct answer is:
A. [tex]\(\frac{26}{7}\)[/tex]
