Answer
a.5:3 = 20:12
b.8:2 = 24:6
Step-by-step explanation:
Divide the numbers
[tex]\frac{8}{n}={\color{#c92786}{\frac{24}{6}}} \ \ \\[tex]
\frac{8}{n}={\color{#c92786}{4}}
Multiply all terms by the same value to eliminate fraction denominators
[tex]
\frac{8}{n}=4 \\
⋅
\frac{8}{n}=
⋅
4[/tex]
Cancel multiplied terms that are in the denominator
[tex]
n \cdot \frac{8}{n}=n \cdot 4 \\
8
=
⋅
4[tex]
Re-order terms so constants are on the left
[tex]8
=
⋅
4 \\
8 = {\color{#c92786}{4}}
[/tex]
Divide both sides of the equation by the same term
[tex]8
=
4
\\
\frac{8}{{\color{#c92786}{4}}}=\frac{4n}{{\color{#c92786}{4}}}[/tex]
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
n = 2
I hope it helps
