Question

What is 4 and 2/5 multiplied by 16.5

Answer 1

Method 1:

$4\dfrac{2}{5}=4\dfrac{2\cdot2}{5\cdot2}=4\dfrac{4}{10}=4.4\\\\4\dfrac{2}{5}\cdot16.5=4.4\cdot16.5=72.6$

Method 2:

$16.5=\dfrac{165}{10}=\dfrac{165:5}{10:5}=\dfrac{33}{2}\\\\4\dfrac{2}{5}=\dfrac{4\cdot5+2}{5}=\dfrac{22}{5}\\\\4\dfrac{2}{5}\cdot16.5=\dfrac{22}{5}\cdot\dfrac{33}{2}=\dfrac{11}{5}\cdot\dfrac{33}{1}=\dfrac{363}{5}=72\dfrac{3}{5}$