What number best completes both equations 2/3÷3/10=? ?×3/10=2/3

Question

asked Sep 26, 2017 203k views

2 Answers

Simon De Lorean · Answer 1 · 2017-09-30T12:34:35+0000

Answer: The number that best completes the given two equations is
$\frac{20}9}.$

Step-by-step explanation: We are given to find the numbers that best completes the following two equations :

$(2)/(3)/(3)/(10)=?\\\\\\?*(3)/(10)=(2)/(3).$

Let x and y be the numbers that completes the first and second equation respectively.

So, we get

x=(2)/(3)/(3)/(10)=(2)/(3)*(10)/(3)=(20)/(9)

and

$y*(3)/(10)=(2)/(3)\\\\\\\Rightarrow y=((2)/(3))/((3)/(10))\\\\\\\Rightarrow y=(2)/(3)*(10)/(3)\\\\\\\Rightarrow y=(20)/(9).$

Thus, the number that best completes the given two equations is
$\frac{20}9}.$