To solve the equation \(\frac{x}{24} = \frac{30}{36}\), follow these steps:

1. **Simplify the fraction on the right side**:
   \[
   \frac{30}{36} = \frac{30 \div 6}{36 \div 6} = \frac{5}{6}
   \]
   So the equation becomes:
   \[
   \frac{x}{24} = \frac{5}{6}
   \]

2. **Cross-multiply** to solve for \(x\):
   \[
   6x = 5 \times 24
   \]

3. **Calculate the multiplication**:
   \[
   6x = 120
   \]

4. **Divide both sides by 6** to solve for \(x\):
   \[
   x = \frac{120}{6} = 20
   \]

So, the solution is \(x = 20\).

Would you like any details or have any questions about this solution?

Here are 5 related questions to consider:

1. How do you solve proportions using cross-multiplication?
2. What are the steps to simplify a fraction?
3. How do you verify if a solution to a proportion is correct?
4. Can you solve the proportion \( \frac{y}{15} = \frac{10}{25} \)?
5. What is the concept of equivalent fractions?

**Tip**: Always simplify fractions in a proportion first; it often makes solving the equation easier.

Learn how to solve the fraction equation x/24 = 30/36 with detailed steps and explanations. This problem covers key concepts in fractions and equations, including cross-multiplication. 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