The denominator of a fraction exceeds the numerator of a fraction by 25. The value of the 
fraction is 
€
3
8
. Find the fraction

Let the numerator of the fraction be \( x \). According to the problem, the denominator exceeds the numerator by 25, so the denominator is \( x + 25 \).

The fraction is given as \( \frac{3}{8} \). Therefore, we can set up the equation:

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

To solve for \( x \), we can cross-multiply:

\[
8x = 3(x + 25)
\]

Expand the equation:

\[
8x = 3x + 75
\]

Now, subtract \( 3x \) from both sides:

\[
5x = 75
\]

Divide both sides by 5:

\[
x = 15
\]

Now that we have \( x = 15 \), the numerator is 15, and the denominator is \( 15 + 25 = 40 \).

Thus, the fraction is:

\[
\frac{15}{40}
\]

This can be simplified:

\[
\frac{15}{40} = \frac{3}{8}
\]

Therefore, the original fraction is \( \frac{15}{40} \).

Do you want more details or have any questions?

Here are some related questions:
1. How do you simplify fractions?
2. Can you explain the cross-multiplication method?
3. How do you check if two fractions are equivalent?
4. What are some other methods to solve fraction-related problems?
5. How do we know when a fraction can be simplified?

**Tip:** Always check if a fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator!

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

Learn how to solve a fraction problem where the denominator exceeds the numerator by 25, and the fraction's value is 3/8. This step-by-step solution includes the cross-multiplication method, simplifying fractions, and understanding algebraic equations. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation