0.454545 as a Fraction

Answer

The answer for 0.454545 as a fraction will be 5/11.

Explanation

Converting a repeating decimal to a fraction can be a little more complex, but it is easily manageable with the right approach. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 0.454545...

Step 2: Since the decimal repeats every two digits, multiply x by 100 to shift the decimal point two places to the right. 100x = 45.454545...

Step 3: Now subtract the original x from this equation: 100x - x = 45.454545... - 0.454545... 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: 45/99 = 5/11

Thus, 0.454545 can be written as a fraction 5/11.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• 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.

• Greatest Common Divisor (GCD): The largest positive integer that divides each of the integers without a remainder.