1.166666667 as a Fraction

Answer

The answer for 1.166666667 as a fraction will be 7/6.

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, 1.166666667 has the whole number part 1 and the decimal part 0.166666667. It can be expressed as a mixed number: 1 + 0.166666667.

Step 2: Recognize that 0.166666667 is a repeating decimal. We express it as a fraction. Let x = 0.166666667. Then, 10x = 1.66666667. Subtract the first equation from the second: 10x - x = 1.5, giving 9x = 1.5, so x = 1.5/9 = 1/6.

Step 3: Combine the whole number and the fraction: 1 + 1/6 = 6/6 + 1/6 = 7/6.

Thus, 1.166666667 can be written as the fraction 7/6.

• 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 fraction that has a digit or group of digits that repeats indefinitely.