0.777777 as a Fraction

Answer:

The answer for 0.777777 as a fraction will be 7/9.

Explanation:

Converting a repeating decimal to a fraction can be done by following the steps below.

Step 1: Let x equal the repeating decimal: x = 0.777777...

Step 2: Multiply both sides of the equation by 10 to shift the decimal point: 10x = 7.777777...

Step 3: Subtract the original equation (Step 1) from this new equation (Step 2) to eliminate the repeating part: 10x - x = 7.777777... - 0.777777... 9x = 7

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

Thus, 0.777777 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 in which a digit or group of digits repeats infinitely.