0.7777777778 as a Fraction

Answer

The answer for 0.7777777778 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 should be written as a repeating fraction. Here, 0.7777777778 is approximately 0.7777... which can be expressed as x = 0.7777...

Step 2: Multiply both sides by 10 to shift the decimal point: 10x = 7.7777...

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 7.7777... - 0.7777... 9x = 7

Step 4: Solve for x: x = 7/9

Thus, 0.7777777778 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.