Question

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

Answer 1

2/3 / 3/10 = 2 1/9
2 1/9 x 3/10 = 2/3

Answer 2

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}.`