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0.67 As A Fraction in Simplest Form Calculator

Reviewed by Calculator Editorial Team

This guide explains how to convert the decimal 0.67 to a fraction in its simplest form. We'll cover the step-by-step process, provide a calculator for quick conversions, and explain common questions about decimal-to-fraction conversions.

How to Convert 0.67 to a Fraction

Converting a decimal to a fraction involves a few simple steps. Here's how to convert 0.67 to a fraction:

  1. Write down the decimal as a fraction with a denominator of 1: 0.67 = 0.67/1
  2. Multiply both the numerator and denominator by 100 to eliminate the decimal: 0.67 × 100 / 1 × 100 = 67/100
  3. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 67 and 100 is 1, so the fraction is already in its simplest form.

Formula: To convert a decimal to a fraction, multiply by 10^n where n is the number of decimal places, then simplify.

Simplifying Fractions

A fraction is in its simplest form when the numerator and denominator have no common divisors other than 1. To simplify a fraction:

  1. Find the greatest common divisor (GCD) of the numerator and denominator
  2. Divide both the numerator and denominator by the GCD
  3. The resulting fraction is in its simplest form

For 67/100, since 67 is a prime number and doesn't divide 100, the fraction is already simplified.

Worked Example

Let's convert 0.67 to a fraction step by step:

  1. Start with 0.67/1
  2. Multiply numerator and denominator by 100: 67/100
  3. Check for common divisors: 67 is prime, 100 = 2² × 5²
  4. No common divisors other than 1, so 67/100 is already simplified

Note: The fraction 67/100 is already in its simplest form because 67 is a prime number and doesn't divide 100.

FAQ

Why is 67/100 already simplified?
Because 67 is a prime number and doesn't divide 100, there are no common divisors other than 1.
Can I simplify 67/100 further?
No, 67/100 is already in its simplest form as there are no common factors between 67 and 100.
What is the decimal equivalent of 67/100?
The decimal equivalent is 0.67, which is what we started with.
How do I convert a fraction to a decimal?
Divide the numerator by the denominator. For 67/100, divide 67 by 100 to get 0.67.