1.77777777778 as a Fraction

Answer

The answer for 1.77777777778 as a fraction will be 16/9.

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: Convert the repeating decimal into a fraction. Let x = 1.77777777778. Notice that 1.77777777778 can be written as 1.7̅, meaning 1.77777... (repeating 7).

Step 2: To eliminate the repeating decimal, multiply both sides of the equation by 10 to shift the repeating part: 10x = 17.7777777778

Step 3: Subtract the original equation from this new equation: 10x - x = 17.7777777778 - 1.77777777778 9x = 16

Step 4: Solve for x by dividing both sides by 9: x = 16/9

Thus, 1.77777777778 can be written as a fraction 16/9.

• 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 digits that repeat infinitely.