0.02857142857 as a Fraction

Answer

The answer for 0.02857142857 as a fraction is 2/70, which simplifies to 1/35.

Explanation

Converting a decimal to a fraction can be done easily by following these steps:

Step 1: Start by writing the decimal number as a fraction with 1 as the denominator. Thus, 0.02857142857 becomes 0.02857142857/1.

Step 2: To remove the decimal places, count the number of decimal digits (which is 11 in this case) and multiply both the numerator and denominator by 10 raised to the power of that count (10^11). 0.02857142857/1 × 100000000000/100000000000 = 2857142857/100000000000

Step 3: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. Here, the GCD is 142857143. Divide both by this number: 2857142857/100000000000 = 2/7000

Step 4: Further simplify 2/7000 to 1/3500 by dividing both the numerator and denominator by 2.

Thus, 0.02857142857 can be written as the fraction 1/3500.

• Fraction: A numerical quantity that represents a part of a whole.
   
• Decimal: A number that uses the base ten system 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 the total number of equal parts in the whole.
   
• Repeating Decimal: A decimal that has one or more repeating digits or a sequence of digits after the decimal point.