Respuesta :

Answer:

12/5 or 2.4 or 2 and 2/5

Step-by-step explanation:

1 / 5/12

By applying the inverse property

[tex]\frac{5}{12} \; times \; \frac{12}{5} =1[/tex]

Given :

5/12 times blank equals 1

We need to find [tex]\frac{5}{12}[/tex] times what number gives us 1

We apply inverse property of multiplication

[tex]\frac{x}{y} \cdot \frac{y}{x} =1[/tex]

Inverse of [tex]\frac{x}{y} \; is \; \frac{y}{x}[/tex]

We apply this property and take inverse of the given fraction

Inverse of [tex]\frac{5}{12} \; is \; \frac{12}{5}[/tex]

So , [tex]\frac{5}{12} \; times \; \frac{12}{5} =1[/tex]

Learn more : brainly.com/question/5145895