1.66666 as a Fraction

Answer

The answer for 1.66666 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, identify the repeating part of the decimal. Here, 1.66666 has a repeating digit of 6 after the decimal point.

Step 2: Let x = 1.66666... Since one digit is repeating, multiply x by 10 to shift the decimal point one place to the right. 10x = 16.66666...

Step 3: Subtract the original equation (x = 1.66666...) from this new equation (10x = 16.66666...) to eliminate the repeating part. 10x - x = 16.66666... - 1.66666... 9x = 15

Step 4: Solve for x by dividing both sides by 9. x = 15/9

Step 5: Simplify the fraction by finding the greatest common divisor (GCD) of 15 and 9, which is 3. 15/9 = 5/3

Thus, 1.66666 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.
   
• Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.
   
• 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.