Respuesta :

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!!!

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