To solve the equation \(\frac{3}{m} = \frac{3}{10}\), you can follow these steps:

1. Multiply both sides of the equation by \(m\) to eliminate the denominator on the left side:
   \[
   3 = \frac{3}{10} \cdot m
   \]
2. Divide both sides by 3 to isolate \(m\):
   \[
   1 = \frac{m}{10}
   \]
3. Multiply both sides by 10 to solve for \(m\):
   \[
   m = 10
   \]

So, the solution is \(m = 10\).

Would you like more details or have any questions?

Here are 5 related questions:
1. What happens if the numerator on both sides is different?
2. How would you solve if the equation was \(\frac{3}{m} = \frac{5}{10}\)?
3. How can you verify the solution \(m = 10\)?
4. What if the equation was \(\frac{3}{m} = \frac{6}{10}\)?
5. How does cross-multiplication work for fractions?

**Tip:** Always check your solution by substituting it back into the original equation.

Learn how to solve the fractional equation 3/m = 3/10 with a clear, step-by-step breakdown. This problem involves key algebraic concepts, such as cross-multiplication and properties of equations. Perfect 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