7.833 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 kinds. 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, 7.833. We are going to learn how to convert a decimal to a fraction.

What is 7.833 as a Fraction?

$7.833 as a fraction$

Answer

The answer for 7.833 as a fraction is 7,833/1,000.

Explanation

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps below to find the answer.

Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 7.833 is the number on the numerator and the base number 1 will be the denominator. Then, 7.833 becomes 7.833/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1,000 (because there are three decimal places). 7.833/1 × 1,000/1,000 = 7,833/1,000

Step 3: Simplify the fraction if possible. In this case, the fraction 7,833/1,000 is already in its simplest form.

Thus, 7.833 can be written as a fraction 7,833/1,000.

Important Glossaries for 7.833 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.
Simplify: The process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor (GCD).