0.04545454545 as a Fraction

Answer

The answer for 0.04545454545 as a fraction is 1/22

Explanation

Converting a decimal to a fraction is a task that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Notice that 0.04545454545 is a repeating decimal, where "4545" repeats. We'll represent the repeating decimal as x. So, let x = 0.04545454545...

Step 2: Since the repeating part "4545" is 4 digits long, multiply x by 10,000 to shift the decimal point right by 4 places: 10,000x = 454.545454545...

Step 3: Subtract the original x from this new equation to eliminate the repeating part: 10,000x - x = 454.545454545... - 0.04545454545... 9,999x = 454.5

Step 4: Solve for x by dividing both sides by 9,999: x = 454.5 / 9,999 Step 5: Simplify the fraction: 454.5 / 9,999 = 909/19,998 (after multiplying both the numerator and denominator by 2 to eliminate the decimal)

Step 6: Find the greatest common divisor (GCD) of 909 and 19,998 and simplify: The GCD is 909, so divide the numerator and the denominator by 909: 909/19,998 = 1/22

Thus, 0.04545454545 can be written as a fraction 1/22.

• Fraction: A numerical quantity that represents a part of a whole, typically expressed as a numerator over a denominator.
   
• 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 fraction in which a figure or group of figures is repeated indefinitely.
   
• 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.