Question

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

Answer 1

Answer:

$\mathsf{\frac{3}{2}}$

Step-by-step explanation:

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

In other words, $\mathsf{\frac{2}{3} \:\times\frac{3}{2}\:=\:\frac{6}{6}\:=\:1}$.

Therefore, you could multiply $\mathsf{\: \frac{2}{3}}$ by  $\mathsf{\frac{3}{2}}$ to make a product of 1.