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Sagot :
The fraction is equal to 3/7
the sum of numerator and denominator is equal to 100
Let the numerator = x
Since, Numerator + Denominator = 100
x + Denominator = 100
Denominator = 100 - x
Thus, the fraction is in the form of;
[tex]\frac{Numerator}{Deno\min ator}=\frac{x}{100-x}[/tex]Since it is given that the fraction is equal to 3/7
So,
[tex]\frac{x}{100-x}=\frac{3}{7}[/tex]Simplify the expression for x;
[tex]\begin{gathered} \frac{x}{100-x}=\frac{3}{7} \\ \text{ Apply crossmultiplication;} \\ 7x=3(100-x) \\ 7x=300-3x \\ 7x+3x=300 \\ 10x=300 \\ x=\frac{300}{10} \\ x=30 \end{gathered}[/tex]So, the numerator is 30
Since, Denominator = 100 - x
Substitute x = 30
Denominator = 100 - x
Denominator = 100 - 30
Denominator = 70
Thus, we have numerato = 30 denominator = 70
So, the resulting fraction is given as;
[tex]\frac{30}{70}[/tex]Answer: 30/70
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