Get clear, concise, and accurate answers to your questions on IDNLearn.com. Our platform provides detailed and accurate responses from experts, helping you navigate any topic with confidence.
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
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.
