Convert the following decimal to a fraction, 75.952

Question 7 options:

75 95.2/100


75 9.52/10


75952/1000


75 952/1000


all of the choices

To convert the decimal 75.952 to a fraction, follow these steps:

1. Separate the whole number from the decimal part:
   - Whole number: 75
   - Decimal part: 0.952

2. Convert the decimal part (0.952) to a fraction:
   - 0.952 = 952/1000 because there are three decimal places.

3. Combine the whole number with the fraction:
   \[
   75.952 = 75 + \frac{952}{1000}
   \]

4. Now, express this as a single fraction:
   \[
   75.952 = \frac{75 \times 1000 + 952}{1000} = \frac{75000 + 952}{1000} = \frac{75952}{1000}
   \]

So, the correct answer is:  
**75952/1000**

This matches the option: **75952/1000**

### Do you have any questions or need further clarification? Here are five related questions to deepen your understanding:

1. How do you simplify a fraction if needed?
2. Can every decimal be converted into a fraction? Why or why not?
3. How would you convert 75.952 into a mixed number?
4. What is the process for converting repeating decimals into fractions?
5. How would you handle converting a large decimal number with more than three decimal places?

**Tip:** When converting a decimal to a fraction, the number of decimal places determines the power of 10 in the denominator.

Convert the following decimal to a fraction, 75.952

Learn how to convert the decimal 75.952 into a fraction using a step-by-step method. Understand how place value determines the fraction, and combine the whole number with the fractional part. Suitable for students in Grades 6-8.

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