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].
[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].
