Answer :
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]
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]
