Math Problem Statement
If necessary, use / for the fraction bar. The simplest fraction form of 0.0115 is
Solution
To convert the decimal 0.0115 to its simplest fraction form, follow these steps:
-
Express the decimal as a fraction:
Since 0.0115 has four decimal places, write it as . -
Simplify the fraction:
Now, find the greatest common divisor (GCD) of 115 and 10000.
The GCD of 115 and 10000 is 5. -
Divide both the numerator and denominator by their GCD:
÷ 5 = .
So, the simplest fraction form of 0.0115 is .
Would you like further details or have any questions?
Here are some related questions you might find interesting:
- How do you simplify fractions with larger numbers?
- What is the process to convert a fraction to a decimal?
- How do you find the greatest common divisor (GCD) of two numbers?
- Can decimals like 0.0115 also be written as mixed fractions?
- What are some common methods to estimate fractions of repeating decimals?
Tip: To find the GCD of two numbers, you can use the Euclidean algorithm, which involves repeatedly subtracting the smaller number from the larger one until you reach a remainder of 0.
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Math Problem Analysis
Mathematical Concepts
Fractions
Decimal to Fraction Conversion
Simplification of Fractions
Formulas
Decimal to Fraction: x = numerator/denominator
Simplification: GCD method
Theorems
Euclidean Algorithm (to find GCD)
Suitable Grade Level
Grades 6-8