0.45454545454 as a Fraction

Answer

The answer for 0.45454545454 as a fraction is 5/11.

Explanation

Converting a repeating 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 repeating part of the decimal. Here, 0.45454545454 has a repeating part of 45.

Step 2: Let x = 0.45454545454. Multiply both sides of the equation by 100 (since there are two repeating digits) to shift the decimal point: 100x = 45.45454545454

Step 3: Subtract the original x from this equation to eliminate the repeating part: 100x - x = 45.45454545454 - 0.45454545454 99x = 45

Step 4: Solve for x by dividing both sides by 99: x = 45/99 Step 5: Simplify the fraction by finding the GCD of 45 and 99, which is 9. x = (45 ÷ 9) / (99 ÷ 9) x = 5/11

Thus, 0.45454545454 can be written as the fraction 5/11.

• 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.