Answer
The missing number that makes the fractions equal is 11.
Step-by-step Explanation
We are told to find the missing number that makes the fraction (14/42) equal to (/33).
Let the missing number be x.
[tex]\frac{14}{42}=\frac{x}{33}[/tex]So, the first step to solving this is to multiply both sides with 42, or cross multiplying.
[tex]\begin{gathered} 42\times\frac{14}{42}=\text{ 42}\times\frac{x}{33} \\ 14\text{ = }\frac{42x}{33} \\ OR\text{ Cross multiply} \\ 14\times33=42\times x \end{gathered}[/tex]Either ways, we end up with the equation
14 × 33 = 42 × x
462 = 42x
We can re-arrange this to make it easier as
42x = 462
Divide both sides by 42
(42x/42) = (462/42)
x = 11
Hope this Helps!!!