2.777777778 as a Fraction

Answer

The answer for 2.777777778 as a fraction will be 25/9.

Explanation

Converting a decimal to a fraction can be straightforward if you follow the steps below.

Step 1: Recognize that 2.777777778 is a repeating decimal. The repeating part is 7, so let's define x = 2.777777778...

Step 2: Multiply x by 10 to shift the decimal point for the repeating part: 10x = 27.77777778...

Step 3: Subtract the original x from this equation to eliminate the repeating decimal: 10x - x = 27.77777778... - 2.777777778... 9x = 25 Step 4: Solve for x by dividing both sides by 9: x = 25/9

Thus, 2.777777778 can be written as a fraction 25/9.

• 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 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.