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107 LearnersLast updated on March 26th, 2025
2.777777778 as a Fraction
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. 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, 2.777777778, we are going to learn how to convert a decimal to a fraction.
What is 2.777777778 as a Fraction?
Answer
The answer for 2.777777778 as a fraction will be 25/9.
Explanation
Converting a decimal to a fraction can be straightforward if you follow the steps below.
Step 1: Recognize that 2.777777778 is a repeating decimal. The repeating part is 7, so let's define x = 2.777777778...
Step 2: Multiply x by 10 to shift the decimal point for the repeating part: 10x = 27.77777778...
Step 3: Subtract the original x from this equation to eliminate the repeating decimal: 10x - x = 27.77777778... - 2.777777778... 9x = 25 Step 4: Solve for x by dividing both sides by 9: x = 25/9
Thus, 2.777777778 can be written as a fraction 25/9.
Important Glossaries for 2.777777778 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.
- 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.
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