1.666 as a Fraction

Answer

The answer for 1.666 as a fraction will be 5/3.

Explanation

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 1.666 is the number on the numerator and the base number 1 will be the denominator. Then, 1.666 becomes 1.666/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 1.666/1 × 1000/1000 = 1666/1000

Step 3: Here, 2 is the GCD of 1666 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 2. 1666/1000 = 833/500

Step 4: Since 833 is larger than 500, convert this improper fraction to a mixed number. Divide 833 by 500 to get 1 with a remainder of 333. This can be written as 1 333/500.

Step 5: To convert to a proper fraction, note that 1 333/500 can be expressed as (500+333)/500 = 833/500, which simplifies further to 5/3 when multiplying both sides by 3. Therefore, 1.666 is equivalent to 5/3.

Thus, 1.666 can be written as a fraction 5/3.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Improper Fraction: A fraction where the numerator is greater than or equal to the denominator, representing a value greater than or equal to one.