Question

Fiona Multiplies a number by 2/3.The product is greater than 2/3.Which could be that number A.10/12 B.6/5 C.3/3 D.2/9

Answer 1

Answer:

The correct option is B.

Step-by-step explanation:

If a number n is multiply by a number than lies between 0 to 1, then the product is less than the initial number.

$k\times n$   if 0<k<1

If a number n is multiply by a number that is greater than 1, then the product is greater than the initial number.

$k\times n>n$   if k>1

It is given that Fiona multiplies a number by 2/3.The product is greater than 2/3. It means the number which is multiplies by Fiona is must be greater than 1.

$\frac{10}{12}$

$\frac{6}{5}$

$\frac{3}{3}=1$

$\frac{2}{9}$

That number is $\frac{6}{5}$. Therefore the correct option is B.

Answer 2

It will be B) 6/5 because thats the only thing that would get you a greater number then 2/3