4.44444 as a Fraction

Answer

The answer for 4.44444 as a fraction will be 40/9.

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, any repeating decimal should be expressed in fractional form. Here, let x = 4.44444...

Step 2: As the decimal repeats every one digit, multiply both sides by 10 to eliminate the repeating part. 10x = 44.44444...

Step 3: Subtract the original equation (x = 4.44444...) from this new equation. 10x - x = 44.44444... - 4.44444... 9x = 40

Step 4: Solve for x by dividing both sides by 9. x = 40/9

Thus, 4.44444 can be written as a fraction 40/9.

• 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 that has a sequence of digits repeating infinitely.