Question

perform the indicated operation.

• 10\frac{1}{2}\cdot1\frac{3}{5}
• 10\frac{1}{2}\cdot1\frac{3}{5}=\square

(simplify your answer. type an integer, proper fraction, or mixed numb)

Explanation:

Step1: Convert mixed - numbers to improper fractions

$-10\frac{1}{2}=-\frac{10\times2 + 1}{2}=-\frac{21}{2}$ and $1\frac{3}{5}=\frac{1\times5+3}{5}=\frac{8}{5}$

Step2: Multiply the two fractions

$-\frac{21}{2}\times\frac{8}{5}=-\frac{21\times8}{2\times5}$

Step3: Simplify the product

$-\frac{21\times8}{2\times5}=-\frac{168}{10}=-\frac{84}{5}=- 16\frac{4}{5}$

Answer:

$-16\frac{4}{5}$