4.88888888889 as a Fraction

Professor Greenline Explaining Math Concepts

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Numbers can be categorized into different types. A 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. Numbers in decimal form are expressed with a decimal point (.), for example, 4.88888888889. We are going to learn how to convert a decimal to a fraction.

What is 4.88888888889 as a Fraction?

$4.88888888889 as a fraction$

Answer

The answer for 4.88888888889 as a fraction is approximately 44/9.

Explanation

Converting a decimal to a fraction can be done with a few straightforward steps. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, identify the repeating decimal part, here 0.888888... is the repeating part. So, let x = 4.888888...

Step 2: Multiply by a power of 10 to shift the decimal point to the right, making one full cycle of the repeating part. Here, multiply by 10: 10x = 48.888888...

Step 3: Subtract the original number from this equation: 10x - x = 48.888888... - 4.888888... 9x = 44

Step 4: Solve for x: x = 44/9

Thus, 4.88888888889 can be written as the fraction 44/9.

Important Glossaries for 4.88888888889 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.