Math Problem Statement

2.009 as fraction

Solution

To convert 2.0092.009 to a fraction:

  1. Write 2.0092.009 as a fraction: 2.009=200910002.009 = \frac{2009}{1000}

  2. Simplify the fraction by finding the greatest common divisor (GCD) of 2009 and 1000. The GCD is 1, so the fraction is already in its simplest form: 20091000\frac{2009}{1000}

Thus, 2.0092.009 as a fraction is: 2.009=200910002.009 = \frac{2009}{1000}

Would you like further details or have any questions?

Here are five related questions:

  1. How do you simplify fractions?
  2. What is a decimal expansion of a fraction?
  3. How do you convert repeating decimals to fractions?
  4. Can every decimal be converted into a fraction?
  5. How do you find the GCD of two numbers?

Tip: Always check if a fraction can be simplified by dividing both the numerator and denominator by their GCD.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Fractions
Decimal to Fraction Conversion
Simplifying Fractions

Formulas

Decimal to Fraction: numerator = decimal value × 10^n, denominator = 10^n
Greatest Common Divisor (GCD)

Theorems

GCD Theorem

Suitable Grade Level

Grades 6-8