Question

Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9. Write the division problem that Martin solved

Answer 1

The required division problem he must solve is:

`(2)/(3) / (-3)/(8) =(2)/(3)*(-8)/(3)=(-16)/(9)`

Explanation:

Consider the provided information.

Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9.

As we know that the quotient of the number is a negative number.

Therefore, the sign of both numbers must be different,

Thus we can concluded he must select
`(2)/(3)` as one of the card, so that product is a negative number.

Let the selected card be x.

`(2)/(3) / x =(-16)/(9)\\\\x=(2)/(3)/(-16)/(9)\\\\x=(2)/(3)*(-9)/(16)\\\\x=(-3)/(8)`

Hence, the two cards should be
`(2)/(3)` and
`(-3)/(8)`

The required division problem he must solve is:

`(2)/(3) / (-3)/(8) =(2)/(3)*(-8)/(3)=(-16)/(9)`