0.277777778 as a Fraction

Answer

The answer for 0.277777778 as a fraction will be 1/3.

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 the repeating part of the decimal. Here, 0.277777778 has 7 as the repeating number. Rewrite it as 0.2(7) where 7 is repeating.

Step 2: Let x = 0.277777778. Multiply both sides by 10 to shift the decimal point: 10x = 2.77777778

Step 3: To eliminate the repeating part, multiply both sides by 10 again: 100x = 27.77777778

Step 4: Subtract the first equation from the second: 100x - 10x = 27.77777778 - 2.77777778 90x = 25

Step 5: Simplify the equation by dividing both sides by 90: x = 25/90 Step 6: Simplify the fraction by finding the GCD of 25 and 90, which is 5: 25/90 = 5/18

Therefore, 0.277777778 can be written as a fraction 5/18.

• 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 repeat infinitely.