0.0666666 as a Fraction

Answer

The answer for 0.0666666 as a fraction will be 1/15.

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: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 0.0666666 is the number on the numerator and the base number 1 will be the denominator. Then, 0.0666666 becomes 0.0666666/1.

Step 2: Since 0.0666666 is a repeating decimal, recognize it as 0.0666... with 6 repeating indefinitely. Let x = 0.0666...

Step 3: Multiply both sides by 10 to shift the decimal point: 10x = 0.6666...

Step 4: Subtract x from 10x to eliminate the repeating part: 10x - x = 0.6666... - 0.0666... 9x = 0.6

Step 5: Solve for x by dividing both sides by 9: x = 0.6/9

Step 6: Simplify 0.6/9 by multiplying both numerator and denominator by 10 to remove the decimal: x = 6/90

Step 7: Simplify 6/90 by finding the GCD, which is 6: 6/90 = 1/15

Thus, 0.0666666 can be written as a fraction 1/15.

• 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 a block of digits that repeats indefinitely.