FInd the smallesf non zero whole number m for which 240/m is 252

We are given the equation:

\[
\frac{240}{m} = 252
\]

To find the smallest non-zero whole number \( m \), we can solve for \( m \) as follows:

1. Multiply both sides of the equation by \( m \) to eliminate the denominator:

\[
240 = 252m
\]

2. Solve for \( m \) by dividing both sides of the equation by 252:

\[
m = \frac{240}{252}
\]

3. Simplify the fraction \( \frac{240}{252} \). First, find the greatest common divisor (GCD) of 240 and 252. The GCD is 12.

4. Divide both the numerator and the denominator by their GCD:

\[
m = \frac{240 \div 12}{252 \div 12} = \frac{20}{21}
\]

Since \( m = \frac{20}{21} \) is not a whole number, there is no whole number \( m \) that satisfies the equation \( \frac{240}{m} = 252 \). Therefore, no solution exists in the form of a non-zero whole number \( m \).

Let me know if you have any questions or want details!

Here are 5 related questions:
1. What is the method for finding the greatest common divisor (GCD)?
2. How can you simplify fractions to their lowest terms?
3. Can the equation \( 240/m = 252 \) be modified to find an integer solution in some cases?
4. What is the difference between rational numbers and whole numbers?
5. How can you verify if a solution to a division problem is a whole number?

**Tip**: Always check the GCD of two numbers when simplifying fractions to ensure you simplify them fully.

Find the smallest non-zero whole number m for which 240/m is 252.

Discover how to solve the problem of finding the smallest non-zero whole number m for which 240/m equals 252. This solution involves algebra, the concept of divisibility, and the use of the Greatest Common Divisor (GCD) to simplify fractions. 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