1.6666666 as a Fraction

Answer

The answer for 1.6666666 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: Identify the repeating part of the decimal. Here, 1.6666666... has a repeating part of 6. To express this repeating decimal as a fraction, let x = 1.6666666...

Step 2: Multiply both sides by 10 to shift the decimal point: 10x = 16.6666666...

Step 3: Subtract the original equation (x = 1.6666666...) from this new equation: 10x - x = 16.6666666... - 1.6666666... 9x = 15

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

Step 5: Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 3: 15/9 = 5/3

Thus, 1.6666666 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.