0.18518518518 as a Fraction

Answer

The answer for 0.18518518518 as a fraction will be 5/27.

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: Recognize that 0.18518518518 is a repeating decimal. Identify the repeating sequence, which is 185.

Step 2: Let x = 0.18518518518. Then, multiply both sides by 1000 to shift the decimal point over the repeating sequence: 1000x = 185.18518518518

Step 3: Subtract the original sequence from this equation to eliminate the repeating part: 1000x - x = 185.18518518518 - 0.18518518518 999x = 185

Step 4: Solve for x: x = 185/999 Step 5: Simplify the fraction by finding the GCD of 185 and 999, which is 37. Divide both numerator and denominator by 37: 185/999 = 5/27

Thus, 0.18518518518 can be written as the fraction 5/27.

• 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 numbers or sequences of numbers after the decimal point.