0.44444444444 as a Fraction

Answer

The answer for 0.44444444444 as a fraction is 4/9.

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: Firstly, identify if the decimal is repeating. Here, 0.44444444444 is a repeating decimal with the digit 4 repeating.

Step 2: To convert a repeating decimal to a fraction, let x = 0.44444444444...

Step 3: Multiply both sides by 10 to move the decimal point one place to the right: 10x = 4.44444444444...

Step 4: Subtract the original equation (x = 0.44444444444...) from this new equation: 10x - x = 4.44444444444... - 0.44444444444...

Step 5: This simplifies to 9x = 4, so x = 4/9.

Thus, 0.44444444444 can be written as a fraction 4/9.

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

• 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.

• Non-terminating Decimal: A decimal that does not end and continues infinitely, often repeating.