0.54545454545 as a Fraction

Answer:

The answer for 0.54545454545 as a fraction will be 6/11.

Explanation:

Converting a repeating decimal to a fraction requires understanding the repeating pattern. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 0.54545454545... (This is a repeating decimal with the block "54" repeating indefinitely.)

Step 2: To eliminate the repeating part, multiply the entire equation by 100 (since the repeating block is 2 digits long): 100x = 54.54545454545...

Step 3: Subtract the original equation (x = 0.54545454545...) from this new equation: 100x - x = 54.54545454545... - 0.54545454545... This simplifies to: 99x = 54

Step 4: Solve for x by dividing both sides by 99: x = 54/99 Step 5: Simplify the fraction by finding the GCD of 54 and 99, which is 9: 54/99 = 6/11

Hence, 0.54545454545 as a fraction is 6/11.

• 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 a digit or group 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.