10.333 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Numbers can be categorized into different types. A fraction is one such type, represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent both whole and fractional parts. Decimals express the fractional part of numbers. For instance, 1/2; numbers in decimal form are expressed with a decimal point (.), such as 10.333. We will learn how to convert a decimal to a fraction.

What is 10.333 as a Fraction?

$10.333 as a fraction$

Answer

The answer for 10.333 as a fraction is 31/3.

Explanation

Converting a decimal to a fraction can be a straightforward task. You can follow the steps below to find the answer.

Step 1: Convert the decimal number to a fraction for easier calculation. Here, 10.333 is the number, so it becomes 10.333/1.

Step 2: To eliminate the decimal, multiply both the numerator and denominator by 1000 (since there are three decimal places). 10.333/1 × 1000/1000 = 10333/1000

Step 3: The repeating part of 10.333 is 0.333, which is equivalent to 1/3. Therefore, the fraction can be expressed as: 10 + 1/3 = 30/3 + 1/3 = 31/3

Thus, 10.333 can be written as the fraction 31/3.

Important Glossaries for 10.333 as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses 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 in which a sequence of digits repeats infinitely.