by Decimal to fraction conversion can sometimes be a daunting task, especially when dealing with recurring decimals like 1.66667. However, with the help of the Ultimate Decimal to Fraction Calculator, the process becomes much simpler and more efficient. In this step-by-step guide, we will show you how to accurately convert 1.66667 into a fraction.
Step 1: Identify the Whole Number and Decimal Portion
The first step in converting 1.66667 into a fraction is to identify the whole number and decimal portion of the number. In this case, the whole number is 1, and the decimal portion is 0.66667.
Step 2: Convert the Decimal Portion into a Fraction
To convert the decimal portion 0.66667 into a fraction, we need to analyze the recurring pattern. In this instance, the sequence of digits after the decimal point repeats the number 6. Therefore, we can represent 0.66667 as 6/9, where 6 is the recurring digit and 9 is the number of digits in the recurring sequence.
Step 3: Add the Whole Number to the Fraction
After converting the decimal portion into a fraction, we need to add the whole number to the fraction. Since the whole number in this case is 1, we can represent it as 1 + 6/9.
Step 4: Simplify the Fraction
To simplify the fraction 1 + 6/9, we need to find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 6 and 9 is 3. By dividing both the numerator and denominator by 3, we obtain the simplified fraction 1 + 2/3.
Step 5: Combine the Whole Number and Fraction
Finally, we can combine the whole number and simplified fraction to express 1.66667 as a fraction. By adding 1 to 2/3, we get 5/3, which is the fractional representation of 1.66667.
By following these steps and utilizing the Ultimate Decimal to Fraction Calculator, converting 1.66667 as a Fraction into a fraction becomes a straightforward process. This tool not only facilitates accurate conversions but also provides a quick and efficient way to deal with recurring decimals. Whether you are a student, a professional, or simply someone looking to streamline their mathematical calculations, the Ultimate Decimal to Fraction Calculator is an invaluable resource.
In conclusion, converting 1.66667 into a fraction can be achieved with ease by breaking down the decimal number into its whole number and decimal parts, converting the decimal portion into a fraction, adding the whole number to the fraction, simplifying the resulting fraction, and combining the whole number and fraction. With the help of the Ultimate Decimal to Fraction Calculator, this process is made even simpler and more efficient.
