1.6666666666 as a Fraction

Answer

The answer for 1.6666666666 as a fraction will be 5/3.

Explanation

Converting a repeating 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, denote the repeating decimal as x. Here, let x = 1.6666666666...

Step 2: Since the decimal repeats every one digit, multiply x by 10 to shift the decimal point one place to the right. 10x = 16.6666666666...

Step 3: Subtract the original equation (x = 1.6666666666...) from this new equation (10x = 16.6666666666...). 10x - x = 16.6666666666... - 1.6666666666... 9x = 15

Step 4: Divide both sides by 9 to solve for x. 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, 1.6666666666 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 indefinitely.

• 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.