1.14285714286 as a Fraction

Answer

The answer for 1.14285714286 as a fraction will be 8/7.

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, identify if the decimal is repeating. Here, 1.14285714286 is a repeating decimal with the repeating part being "142857". We express it as a fraction: 1 + 0.14285714286.

Step 2: For the repeating decimal part, express 0.142857 as a fraction. 142857 repeats every 6 digits, so we multiply by 1,000,000 to remove the decimal. 0.142857 = 142857/999999 (since multiplying both numerator and denominator by powers of 10 equivalent to the number of repeating decimal places)

Step 3: Simplify 142857/999999. The GCD of 142857 and 999999 is 1, so it simplifies to 1/7.

Step 4: Combine with the whole number part: 1 + 1/7 = 8/7.

Thus, 1.14285714286 can be written as a fraction 8/7.

• 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.