0.04444444444 as a Fraction

Answer

The answer for 0.04444444444 as a fraction will be 1/22.5.

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, any decimal number should be converted to a fraction for easy calculation. Here, 0.04444444444 is the number on the numerator and the base number 1 will be the denominator. Then, 0.04444444444 becomes 0.04444444444/1.

Step 2: To remove the repeating decimal, notice that the decimal 0.04444444444 is equivalent to 0.04 + 0.0044444444... The repeating part is 0.0044444444, which can be written as 4/900.

Step 3: Add the fractions: 0.04 is equivalent to 4/100, which simplifies to 1/25. Now, add it to the repeating part: 1/25 + 4/900 = 36/900 + 4/900 = 40/900.

Step 4: Simplify 40/900 by dividing both the numerator and the denominator by 20, the GCD of 40 and 900. 40/900 = 2/45

Hence, 0.04444444444 can be written as the fraction 2/45.

• 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.

• 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.

• Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.