Box of 333 paper clips,9 are defective. Express non-defective as a ratio of the defctive in its simplest form

To express the ratio of non-defective to defective paper clips in its simplest form, let's first calculate the number of non-defective paper clips.

1. **Total number of paper clips**: 333  
2. **Number of defective paper clips**: 9  

The number of **non-defective** paper clips is:

\[
\text{Non-defective paper clips} = \text{Total paper clips} - \text{Defective paper clips} = 333 - 9 = 324
\]

Now, we find the **ratio** of non-defective to defective paper clips:

\[
\text{Ratio of non-defective to defective} = \frac{324}{9}
\]

To simplify the ratio, divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 324 and 9 is 9.

\[
\frac{324 \div 9}{9 \div 9} = \frac{36}{1}
\]

Therefore, the simplified ratio of non-defective to defective paper clips is **36:1**.

Would you like further details or have any questions?

Here are 5 related questions that expand on this topic:

1. What is the percentage of defective paper clips in the box?
2. How would the ratio change if 5 more defective paper clips were found?
3. What is the formula for calculating the greatest common divisor (GCD) of two numbers?
4. How can you express the ratio of defective to total paper clips in the box?
5. If you had a different box with 250 total paper clips and 25 defective ones, what would the non-defective to defective ratio be?

**Tip:** When simplifying ratios, always look for the greatest common divisor to reduce the numbers to their smallest possible form.

Understand and simplify the ratio of non-defective to defective paper clips in a box of 333. Learn how to calculate ratios and simplify them using the greatest common divisor (GCD).

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