Question

What can i multiply 2/3 by to make a product of 1? Explain how you know.

Answer 1

`\mathsf{(3)/(2)}`

Explanation:

In order to get a product of 1, you must multiply
`\mathsf{\: (2)/(3)}` with another fraction that will result in the same value for the numerator and the denominator, which is its reciprocal.

In other words,
`\mathsf{(2)/(3) \:*(3)/(2)\:=\:(6)/(6)\:=\:1}`.

Therefore, you could multiply
`\mathsf{\: (2)/(3)}` by
`\mathsf{(3)/(2)}` to make a product of 1.