Answer :

We start with the equation

[tex]$$
\frac{20}{50}=\frac{4}{\square}.
$$[/tex]

Step 1: Simplify the fraction on the left-hand side.

Divide both the numerator and the denominator by their greatest common divisor, which is 10:

[tex]$$
\frac{20}{50}=\frac{20 \div 10}{50 \div 10}=\frac{2}{5}.
$$[/tex]

Step 2: Set up the proportion.

Now the equation becomes

[tex]$$
\frac{2}{5}=\frac{4}{x},
$$[/tex]

where [tex]$x$[/tex] represents the unknown value.

Step 3: Cross-multiply to solve for [tex]$x$[/tex].

Cross-multiplication gives:

[tex]$$
2 \cdot x = 5 \cdot 4.
$$[/tex]

This simplifies to:

[tex]$$
2x = 20.
$$[/tex]

Step 4: Solve for [tex]$x$[/tex].

Divide both sides by 2:

[tex]$$
x = \frac{20}{2}=10.
$$[/tex]

Thus, the missing number in the fraction is [tex]$10$[/tex].

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Rewritten by : Barada