multiply: $1\\frac{11}{16}\\times\\frac{4}{9}$\na $1\\frac{11}{36}$\nb $\\frac{49}{72}$\nc $\\frac{3}{4}$\nd…

multiply: $1\\frac{11}{16}\\times\\frac{4}{9}$\na $1\\frac{11}{36}$\nb $\\frac{49}{72}$\nc $\\frac{3}{4}$\nd $\\frac{4}{9}$

multiply: $1\\frac{11}{16}\\times\\frac{4}{9}$\na $1\\frac{11}{36}$\nb $\\frac{49}{72}$\nc $\\frac{3}{4}$\nd $\\frac{4}{9}$

Answer

Explanation:

Step1: Convert mixed - number to improper fraction

$1\frac{11}{16}=\frac{1\times16 + 11}{16}=\frac{27}{16}$

Step2: Multiply the fractions

$\frac{27}{16}\times\frac{4}{9}=\frac{27\times4}{16\times9}$

Step3: Simplify the fraction

$\frac{27\times4}{16\times9}=\frac{108}{144}=\frac{3}{4}$

Answer:

C. $\frac{3}{4}$