1.666666667 as a Fraction

Answer

The answer for 1.666666667 as a fraction will be 5/3.

Explanation

Converting a repeating decimal to a fraction is a task that can be done with a systematic approach. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 1.666666667. Notice that the '6' repeats infinitely.

Step 2: Multiply x by 10 to move the decimal point one place to the right: 10x = 16.66666667.

Step 3: Subtract the original x from this equation: 10x - x = 16.66666667 - 1.666666667 This simplifies to: 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. Thus, 15/9 simplifies to 5/3.

Therefore, 1.666666667 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.
   
• 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 that has one or more repeating digits or sequences of digits after the decimal point.