Question

multiply $6\frac{1}{2} \cdot 1\frac{8}{13}$. simplify the answer and write as a mixed number. \
\bigcirc $10\frac{13}{26}$ \
\bigcirc $6\frac{4}{13}$ \
\bigcirc $10\frac{1}{2}$ \
\bigcirc $\frac{21}{2}$

Explanation:

Step1: Convert to improper fractions

$6\frac{1}{2} = \frac{13}{2}$, $1\frac{8}{13} = \frac{21}{13}$

Step2: Multiply the fractions

$\frac{13}{2} \times \frac{21}{13} = \frac{13 \times 21}{2 \times 13}$

Step3: Simplify the product

Cancel common factor 13: $\frac{21}{2}$

Step4: Convert to mixed number

$\frac{21}{2} = 10\frac{1}{2}$

Answer:

$10\frac{1}{2}$ (Option C)