0.777777778 as a Fraction

Answer

The answer for 0.777777778 as a fraction will be 7/9.

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 number should be converted into a fraction for easy calculation. Here, let x = 0.777777778.

Step 2: Multiply both sides by 10 to move one digit before the decimal, i.e., 10x = 7.77777778.

Step 3: Subtract the original equation (x = 0.777777778) from this new equation (10x = 7.77777778) to eliminate the repeating part: 10x - x = 7.77777778 - 0.777777778 9x = 7

Step 4: Solve for x by dividing both sides by 9: x = 7/9

Thus, 0.777777778 can be written as a fraction 7/9.

• 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 one or more repeating digits after the decimal point indefinitely.