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

Verified Answer :

Poobah

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

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.

\(\frac{10}{12}<1\)

\(\frac{6}{5}<1\)

\(\frac{3}{3}=1\)

\(\frac{2}{9}<1\)

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