2.57142857143 as a Fraction

Answer

The answer for 2.57142857143 as a fraction is 18/7.

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, 2.57142857143 is the number on the numerator and the base number 1 will be the denominator. Then, 2.57142857143 becomes 2.57142857143/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 100000000000 (because there are 11 decimal places). 2.57142857143/1 × 100000000000/100000000000 = 257142857143/100000000000

Step 3: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). Here, the GCD of 257142857143 and 100000000000 is 142857143. Now, divide both the numerator and denominator by this GCD. 257142857143/100000000000 = 18/7

Thus, 2.57142857143 can be written as the fraction 18/7.

• 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 sequence of digits repeats infinitely.