Math Problem Statement
Solution
The problem in the image asks to convert the decimal into a fraction in its simplest form. Here’s how to solve it:
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Write the decimal as a fraction:
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Simplify the fraction by finding the greatest common divisor (GCD) of 195 and 1000. The GCD of 195 and 1000 is 5.
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Now, divide both the numerator and the denominator by 5:
Thus, the decimal as a fraction in its simplest form is:
Would you like any further details or have questions on this?
Here are 5 related questions:
- How do you convert other decimals like 0.375 into fractions?
- How can you determine the GCD of two numbers quickly?
- Can you convert repeating decimals into fractions?
- What are the steps for simplifying fractions?
- How would you convert a fraction back into a decimal?
Tip: When simplifying fractions, always check the GCD to ensure you're reducing the fraction to its simplest form.
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Math Problem Analysis
Mathematical Concepts
Decimals
Fractions
Greatest Common Divisor (GCD)
Simplification
Formulas
Decimal to fraction conversion
GCD for fraction simplification
Theorems
GCD (Greatest Common Divisor) Theorem
Suitable Grade Level
Grades 6-8