What Is 0.66 As A Fraction

What is 0.66 as a Fraction? A Simple Guide

Understanding how to convert decimals to fractions is a fundamental skill in mathematics. This article will guide you through the process of converting the decimal 0.66 into its fractional equivalent, explaining the steps clearly and concisely. We'll also explore some related concepts and provide you with a simple method you can use for other decimal-to-fraction conversions.

Understanding Decimal Places

Before we begin, it's important to understand what decimal places represent. The number 0.66 has two decimal places – the 6 in the tenths place and the other 6 in the hundredths place. This indicates that the number is sixty-six hundredths.

Converting 0.66 to a Fraction

The process is straightforward:

1. Write the decimal as a fraction: Since 0.66 represents sixty-six hundredths, we can write it as 66/100.

2. Simplify the fraction: The fraction 66/100 can be simplified by finding the greatest common divisor (GCD) of both the numerator (66) and the denominator (100). The GCD of 66 and 100 is 2. Divide both the numerator and the denominator by 2:

   66 ÷ 2 = 33 100 ÷ 2 = 50

   This simplifies the fraction to 33/50.

Therefore, 0.66 as a fraction is 33/50. This is the simplest form of the fraction, meaning it cannot be further reduced.

Another Example: Converting 0.75 to a Fraction

Let's try another example to solidify your understanding. To convert 0.75 to a fraction:

1. Write as a fraction: 0.75 is seventy-five hundredths, so it's written as 75/100.

2. Simplify the fraction: The GCD of 75 and 100 is 25. Dividing both by 25 gives us:

   75 ÷ 25 = 3 100 ÷ 25 = 4

   So, 0.75 as a fraction is 3/4.

General Method for Decimal to Fraction Conversion

The general method for converting a decimal to a fraction involves:

1. Identifying the place value of the last digit: This determines the denominator of your initial fraction. For example, if the last digit is in the hundredths place, the denominator is 100; if it's in the thousandths place, the denominator is 1000, and so on.

2. Writing the decimal as a fraction: The digits to the right of the decimal point become the numerator.

3. Simplifying the fraction: Find the GCD of the numerator and denominator and divide both by it to obtain the simplest form.

By following these steps, you can confidently convert any terminating decimal into its fractional equivalent. Remember to always simplify your fraction to its lowest terms for the most accurate and concise representation.