0.05555555555 as a Fraction

Answer

The answer for 0.05555555555 as a fraction is 1/18.

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 repeating decimal number should be expressed with a bar notation. Here, 0.05555555555... can be written as 0.0(5).

Step 2: Let x = 0.0(5). To remove the repeating part, multiply by 10 to shift the decimal point: 10x = 0.5(5).

Step 3: Subtract the original equation from this new equation: 10x - x = 0.5(5) - 0.0(5) 9x = 0.5

Step 4: Solve for x by dividing both sides by 9: x = 0.5/9

Step 5: Convert 0.5 into a fraction: 0.5 = 1/2.

Step 6: Now, multiply the fractions: x = (1/2)/9 = 1/18

Thus, 0.05555555555 can be written as the fraction 1/18.

• 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.