1.77777778 as a Fraction

Answer

The answer for 1.77777778 as a fraction is 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: Recognize that 1.77777778 is a repeating decimal. To express it accurately, use 1.777... (with the 7 repeating), which is equivalent to 1 + 0.777...

Step 2: Let x = 0.777..., which can be expressed as x = 0.777... = 7/9 (since 0.777... is a repeating decimal of 7, which is 7/9).

Step 3: Therefore, 1.777... = 1 + 7/9 = 9/9 + 7/9 = 16/9.

Thus, 1.77777778 can be written as the 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.
   
• Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.
   
• 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.