1.88888888889 as a Fraction

Answer

The answer for 1.88888888889 as a fraction is approximately 17/9.

Explanation

Converting a repeating decimal to a fraction requires a series of steps. Follow the steps mentioned below to find the answer.

Step 1: Identify the repeating part of the decimal. Here, 0.88888888889 is repeating. Let's call x = 1.88888888889.

Step 2: Multiply both sides of the equation by 10 to shift the decimal point. 10x = 18.88888888889

Step 3: Subtract the original x from this equation to eliminate the repeating part. 10x - x = 18.88888888889 - 1.88888888889 9x = 17

Step 4: Solve for x by dividing both sides by 9. x = 17/9

Thus, 1.88888888889 can be approximately written as the fraction 17/9.

• 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.

• 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 that has one or more repeating digits or a repeating sequence of digits after the decimal point.