97.1k views
3 votes
Type the missing number that makes these fractions equal:14/42/33Submit

1 Answer

5 votes

Answer

The missing number that makes the fractions equal is 11.

Explanation

We are told to find the missing number that makes the fraction (14/42) equal to (/33).

Let the missing number be x.


(14)/(42)=(x)/(33)

So, the first step to solving this is to multiply both sides with 42, or cross multiplying.


\begin{gathered} 42*(14)/(42)=\text{ 42}*(x)/(33) \\ 14\text{ = }(42x)/(33) \\ OR\text{ Cross multiply} \\ 14*33=42* x \end{gathered}

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!!!

User Glguy
by
4.8k points