1.06666666667 as a Fraction

Answer

The answer for 1.06666666667 as a fraction will be 16/15.

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: Separate the whole number from the decimal portion. Here, 1.06666666667 can be split into 1 + 0.06666666667.

Step 2: Convert 0.06666666667, a repeating decimal, into a fraction. Let x = 0.06666666667... Then, 10x = 0.6666666667... Subtracting these equations, 10x - x = 0.6666666667 - 0.06666666667 9x = 0.6 x = 0.6 / 9 x = 2/30, which simplifies to 1/15.

Step 3: Combine the whole number and the fractional part. 1 + 1/15 = 16/15.

Thus, 1.06666666667 can be written as a fraction 16/15.

• 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 recurring digits or sequence of digits after the decimal point indefinitely.