Answer: [tex]\frac{23}{8}[/tex]
Step-by-step explanation:
Let x be equal to the number that we will multiply 16 by to get 46. We can write an equation to help us solve. It will look like this:
16x = 46
To find our answer, we will divide both sides of the equation by 16 to isolate x.
[tex]\displaystyle \frac{16x}{16} = \frac{46}{16} \rightarrow x =\frac{46}{16}[/tex]
Lastly, we will simplify this fraction by dividing both the numerator and the denominator by 2. This gives us our final answer of 23-eighths.
[tex]\displaystyle \frac{\frac{46}{2} }{\frac{16}{2} }\rightarrow \frac{23}{8}[/tex]