multiply: $8\times5\frac{9}{16}$\na 44\nb $40...
multiply: $8\times5\frac{9}{16}$\na 44\nb $40\frac{9}{16}$\nc $45\frac{9}{16}$\nd $44\frac{1}{2}$
Answer
# Explanation:
## Step1: Convert mixed - number to improper fraction
First, convert $5\frac{9}{16}$ to an improper fraction. $5\frac{9}{16}=\frac{5\times16 + 9}{16}=\frac{80 + 9}{16}=\frac{89}{16}$.
## Step2: Multiply the whole number and the improper fraction
Then, multiply $8$ by $\frac{89}{16}$, which is $8\times\frac{89}{16}=\frac{8\times89}{16}=\frac{712}{16}$.
## Step3: Simplify the fraction
Simplify $\frac{712}{16}$. Divide both the numerator and the denominator by their greatest common divisor. $712\div16 = 44.5=\ 44\frac{1}{2}$.
# Answer:
D. $44\frac{1}{2}$