2.77777778 as a Fraction

Professor Greenline Explaining Math Concepts

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Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 2.77777778, we are going to learn how to convert a decimal to a fraction.

What is 2.77777778 as a Fraction?

$2.77777778 as a fraction$

Answer

The answer for 2.77777778 as a fraction will be 25/9.

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 decimal number should be converted to fraction for easy calculation. Here, 2.77777778 is the number on the numerator and the base number 1 will be the denominator. Then, 2.77777778 becomes 2.77777778/1.

Step 2: To remove the repeating decimal part, recognize that 2.77777778 can be split into 2 + 0.77777778. Since 0.77777778 has a repeating part, it can be expressed as 7/9.

Step 3: Therefore, 2.77777778 can be written as 2 + 7/9 = 18/9 + 7/9 = 25/9. Hence, 2.77777778 is in the form of the fraction 25/9.

Thus, 2.77777778 can be written as a fraction 25/9.

Important Glossaries for 2.77777778 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 in which a digit or group of digits repeats infinitely.