1.6666666666667 as a Fraction

Answer

The answer for 1.6666666666667 as a fraction will be 5/3.

Explanation

Converting a repeating decimal to a fraction involves identifying the repeating part. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 1.6666666666667. Recognize that 1.6666666666667 is a repeating decimal, but for simplicity, let's assume it repeats as 1.666... infinitely.

Step 2: Multiply x by 10 to shift the decimal point one place to the right: 10x = 16.666...

Step 3: Subtract the original x from this equation: 10x - x = 16.666... - 1.666... 9x = 15

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

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

Thus, 1.6666666666667 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.