1.55555555556 as a Fraction

Answer

The answer for 1.55555555556 as a fraction will be 14/9.

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: Identify the repeating part of the decimal. Here, 1.55555555556 is a repeating decimal where "5" repeats indefinitely.

Step 2: Let x = 1.55555555556…. Multiply both sides by 10 to shift the repeating part: 10x = 15.5555555556.

Step 3: Subtract the original equation (x = 1.55555555556…) from this new equation: 10x - x = 15.5555555556… - 1.55555555556… 9x = 14 Step 4: Solve for x to find the fraction: x = 14/9

Thus, 1.55555555556 can be expressed as the fraction 14/9.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Repeating Decimal: A decimal in which a sequence of digits repeats 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.
   
• Mixed Number: A number consisting of an integer and a proper fraction.