0.4545 as a Fraction

Answer

The answer for 0.4545 as a fraction will be 5/11.

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 that 0.4545 is a repeating decimal with "45" as the repeating part. Let x = 0.4545...

Step 2: Multiply both sides by 100 to move the decimal point two places to the right (since "45" is two digits long): 100x = 45.4545...

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 100x - x = 45.4545... - 0.4545...

Step 4: This simplifies to: 99x = 45

Step 5: Solve for x by dividing both sides by 99: x = 45/99 Step 6: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 9: 45/99 = 5/11

Thus, 0.4545 can be written as a 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 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.