1.44444444444 as a Fraction

Answer

The answer for 1.44444444444 as a fraction will be 13/9.

Explanation

Converting a repeating decimal to a fraction is a task that can be done systematically. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 1.44444444444...

Step 2: Recognize that the decimal part repeats every 1 digit. Multiply both sides of the equation by 10 to move the repeating part to the left of the decimal point. 10x = 14.44444444444...

Step 3: Subtract the original equation (x = 1.44444444444...) from this new equation: 10x - x = 14.44444444444... - 1.44444444444...

Step 4: This simplifies to: 9x = 13

Step 5: Solve for x by dividing both sides by 9: x = 13/9

Thus, 1.44444444444 can be written as a fraction 13/9.

• 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.

• Repeating Decimal: A decimal in which one or more digits repeat 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.