0.545454 as a Fraction

Answer

The answer for 0.545454 as a fraction will be 6/11.

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 decimal number and recognize the repeating part. Here, 0.545454 has a repeating part of 54. Let x = 0.545454...

Step 2: Multiply the decimal by a power of 10 that matches the length of the repeating sequence to move the decimal point. Since the repeating sequence "54" has two digits, multiply by 100: 100x = 54.545454...

Step 3: Subtract the original equation (x = 0.545454...) from this new equation: 100x - x = 54.545454... - 0.545454... 99x = 54

Step 4: Solve for x by dividing both sides by 99: x = 54/99

Step 5: Simplify the fraction. The GCD of 54 and 99 is 9, so divide both the numerator and the denominator by 9: 54/99 = 6/11

Thus, 0.545454 can be written as the fraction 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 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.