11.1111 as a Fraction

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Numbers can be categorized into different types. A fraction is one of these types. 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, 11.1111. We are going to learn how to convert a decimal to a fraction.

What is 11.1111 as a Fraction?

$11.1111 as a fraction$

Answer

The answer for 11.1111 as a fraction is 111111/10000.

Explanation

Converting a decimal to a fraction can be done easily by following a few steps. Below, you'll find the steps to find the answer.

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 11.1111 is the number on the numerator and the base number 1 will be the denominator. Then, 11.1111 becomes 11.1111/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 10000 (because there are 4 decimal places). 11.1111/1 × 10000/10000 = 111111/10000

Step 3: Here, the GCD of 111111 and 10000 is 1. Since the GCD is 1, the fraction is already in its simplest form.

Thus, 11.1111 can be written as a fraction 111111/10000.

Important Glossaries for 11.1111 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 one or more repeating digits that continue infinitely.