Question

3 x 7/9 = 21/27? is it correct? Explain why?

Answer 1

No: first of all, 21/27 is equivalent to 7/9, because you multipied both numerator and denominator by 3.

Secondly, you may write 3 as 3/1, and by doing so it should be clear that you have to multiply numerators and numerator among themselves:

`3\cdot (7)/(9)=(3)/(1)\cdot (7)/(9)=(3\cdot 7)/(9\cdot 1)=(21)/(9)=(7)/(3)`

Answer 2

it is not correct because

`3 * (7)/(9)`

is like saying

`(3)/(1) * (7)/(9)`

which would be

`(21)/(9)`

but since it is an improper fraction you have to change it to a mixed fraction which would be

`2(3)/(9)`

which can be simplified to

`2(1)/(3)`

Explanation:

hope this was helpful