Question

I need this ASAP!

( Fractions and whole numbers)

Answer 1

C.
`4(2)/(3)`

Explanation:

One way of approaching this problem is to multiply the numbers the numerators together and then divide by the denominator to receive the quotient and the remainder.

Firstly 6 can be written as a fraction like so:
`(6)/(1)` because 6 divided by 1 is equal to 6.

To multiply two fractions together, we simply multiply the numerators and multiply the denominators:

`(7)/(9)* (6)/(1) =(7*6)/(9*1)`

Which gives us the improper fraction of:
`(42)/(9)`

Next, we find the highest multiple of 9 which is smaller than 42. If we write out the multiples of 9 we will find that it is 36:

1x9=9, 2x9=18, 3x9=27, 4x9=36, 5x9=45

Since we know that at least 4 whole 9s go into 42 we can conclude that the coefficient of the fraction will be 4.

To find the fraction itself, we must find the remainder which we can do by subtracting 36 from 42: 42-36 = 6

The remainder is the numerator of the fraction as there are 6 ninths left over after we have divided 42 by 9.

Therefore our answer is
`4(6)/(9)`

If we divide 6 and 9 by 3 we will find that 6/9 is equivalent to 2/3 therefore our final answer is
`4(2)/(3)`.

Option C is correct.