0.16666666666667 as a Fraction

Answer

The answer for 0.16666666666667 as a fraction will be 1/6.

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: Let x = 0.16666666666667... (the decimal repeats)

Step 2: Multiply both sides by 10 to move the decimal point one place to the right. 10x = 1.6666666666667...

Step 3: Multiply both sides by 10 again to move the decimal point one more place to the right. 100x = 16.666666666667...

Step 4: Subtract the first equation from the second equation to eliminate the repeating part. 100x - 10x = 16.666666666667... - 1.6666666666667... 90x = 15

Step 5: Solve for x by dividing both sides by 90. x = 15/90 Step 6: Simplify the fraction by finding the GCD of 15 and 90, which is 15. Divide both the numerator and the denominator by 15. x = 1/6

Thus, 0.16666666666667 can be written as a fraction 1/6.

• 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.

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