Math Problem Statement
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
Solution
To convert the decimal 75.952 to a fraction, follow these steps:
-
Separate the whole number from the decimal part:
- Whole number: 75
- Decimal part: 0.952
-
Convert the decimal part (0.952) to a fraction:
- 0.952 = 952/1000 because there are three decimal places.
-
Combine the whole number with the fraction:
-
Now, express this as a single fraction:
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:
- How do you simplify a fraction if needed?
- Can every decimal be converted into a fraction? Why or why not?
- How would you convert 75.952 into a mixed number?
- What is the process for converting repeating decimals into fractions?
- 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.
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Math Problem Analysis
Mathematical Concepts
Decimal Conversion
Fractions
Place Value
Formulas
Decimal to Fraction Conversion: (Decimal Part) / (Power of 10 based on number of decimal places)
Whole Number and Fraction Combination: Whole Number + (Fraction)
Theorems
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Suitable Grade Level
Grades 6-8