The denominator of a fraction exceeds the numerator of a fraction by 25. The value of the is 3/8. What is the equation

Let's denote the numerator of the fraction as \( x \) and the denominator as \( x + 25 \) (since the denominator exceeds the numerator by 25).

Given that the value of the fraction is \( \frac{3}{8} \), we can write the equation as:

\[
\frac{x}{x + 25} = \frac{3}{8}
\]

This is the equation that represents the given problem.

Would you like to see the steps to solve this equation, or do you have any other questions?

Here are some related questions for further exploration:
1. What is the value of the numerator if the denominator is 50?
2. How do you cross-multiply to solve the equation?
3. Can you find the value of the denominator once the equation is solved?
4. What happens if the fraction is instead \( \frac{2}{5} \)?
5. How do you check if the solution is correct once you find it?

**Tip:** When dealing with word problems, always identify what the variables represent and translate the conditions directly into an equation.

Understand how to solve an equation involving fractions where the denominator exceeds the numerator by 25. Learn the step-by-step solution to find the values of the numerator and denominator. Suitable for students in Grades 6-8.

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