0.77777777 as a Fraction

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Numbers can be categorized into different types. A fraction is one of its kinds and is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction displays a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.), such as 0.77777777. We are going to learn how to convert a decimal to a fraction.

What is 0.77777777 as a Fraction?

$0.77777777 as a fraction$

Answer

The answer for 0.77777777 as a fraction is 7/9.

Explanation

Converting a decimal to a fraction is a task that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Recognize that 0.77777777 is a repeating decimal. Let x = 0.77777777...

Step 2: Multiply both sides of the equation by 10 to shift the decimal point: 10x = 7.77777777...

Step 3: Subtract the original equation (x = 0.77777777...) from this new equation: 10x - x = 7.77777777... - 0.77777777...

Step 4: Simplify the equation: 9x = 7

Step 5: Solve for x by dividing both sides by 9: x = 7/9

Thus, 0.77777777 can be written as a fraction 7/9.

Important Glossaries for 0.77777777 as a Fraction

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 number in which a digit or group of digits repeats infinitely.