4.44444 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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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. 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, 4.44444, we are going to learn how to convert a decimal to a fraction.

What is 4.44444 as a Fraction?

$4.44444 as a fraction$

Answer

The answer for 4.44444 as a fraction will be 40/9.

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 repeating decimal should be expressed in fractional form. Here, let x = 4.44444...

Step 2: As the decimal repeats every one digit, multiply both sides by 10 to eliminate the repeating part. 10x = 44.44444...

Step 3: Subtract the original equation (x = 4.44444...) from this new equation. 10x - x = 44.44444... - 4.44444... 9x = 40

Step 4: Solve for x by dividing both sides by 9. x = 40/9

Thus, 4.44444 can be written as a fraction 40/9.

Important Glossaries for 4.44444 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 that has a sequence of digits repeating infinitely.