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:

  1. Express the decimal as a fraction:
    Since 0.0115 has four decimal places, write it as 11510000\frac{115}{10000}.

  2. Simplify the fraction:
    Now, find the greatest common divisor (GCD) of 115 and 10000.
    The GCD of 115 and 10000 is 5.

  3. Divide both the numerator and denominator by their GCD:
    11510000\frac{115}{10000} ÷ 5 = 232000\frac{23}{2000}.

So, the simplest fraction form of 0.0115 is 232000\frac{23}{2000}.


Would you like further details or have any questions?

Here are some related questions you might find interesting:

  1. How do you simplify fractions with larger numbers?
  2. What is the process to convert a fraction to a decimal?
  3. How do you find the greatest common divisor (GCD) of two numbers?
  4. Can decimals like 0.0115 also be written as mixed fractions?
  5. 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