Math Problem Statement
6.012 as a fraction
Solution
To convert 6.012 to a fraction, follow these steps:
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Write 6.012 as a fraction with 1000 in the denominator since there are three decimal places:
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Simplify the fraction. Find the greatest common divisor (GCD) of 6012 and 1000, which is 4:
So, 6.012 as a simplified fraction is:
Would you like a deeper explanation or have any questions?
Here are some related questions:
- How do you convert a decimal with more digits into a fraction?
- How do you find the GCD of two numbers?
- Can repeating decimals be written as fractions?
- How do you simplify fractions with larger numbers?
- How can we approximate a decimal fraction using simpler denominators?
Tip: Always check if a fraction can be simplified by dividing both numerator and denominator by their greatest common divisor (GCD).
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Math Problem Analysis
Mathematical Concepts
Decimals to Fractions
Simplifying Fractions
Greatest Common Divisor (GCD)
Formulas
Fraction with denominator as 10^n for n decimal places: Decimal = Numerator / Denominator
Simplify the fraction by dividing both numerator and denominator by the GCD
Theorems
Fundamental Theorem of Arithmetic (for finding GCD)
Suitable Grade Level
Grade 7