0.555555556 as a Fraction

Answer

The answer for 0.555555556 as a fraction is 5/9.

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, 0.555555556 is the number on the numerator and the base number 1 will be the denominator. Then, 0.555555556 becomes 0.555555556/1.

Step 2: Since the decimal repeats, let's convert it into a fraction. Let x = 0.555555556. Multiply both sides by 10^9 (considering 9 decimal places for simplicity), which results in 555555556. We have: 10^9 * x = 555555556

Step 3: Subtract the repeating part: 10x = 5.55555556 (1 decimal place repeats) Multiply by 9 to clear the repeating decimal: 9x = 5

Step 4: Solve for x: 9x = 5 x = 5/9

Thus, 0.555555556 can be written as a fraction 5/9.

• 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 one or more digits repeat 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.