0.5714285714 as a Fraction

Answer

The answer for 0.5714285714 as a fraction will be 4/7.

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, any decimal number should be converted to a fraction for easy calculation. Here, 0.5714285714 is the number on the numerator and the base number 1 will be the denominator. Then, 0.5714285714 becomes 0.5714285714/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10,000,000 (because there are 10 decimal places). 0.5714285714/1 × 10000000/10000000 = 5714285714/10000000

Step 3: Here 142857 is the GCD of 5714285714 and 10000000. Now, to make the fraction simpler, divide the numerator and denominator by 142857. 5714285714/10000000 = 4/7 Hence, 0.5714285714 is in the form of a fraction of 4/7.

Thus, 0.5714285714 can be written as a fraction 4/7.

• 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.

• 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 in which a digit or group of digits repeats infinitely.