Last updated on May 29th, 2025
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. A fraction represents both a whole and a fractional part. Decimals primarily represent the fractional part of numbers. For example, in the fraction 1/2, the numbers in decimal form are expressed with a decimal point (.), such as 0.375. We are going to learn how to convert a decimal like 2.813 to a fraction.
The answer for 2.813 as a fraction is 2813/1000.
Converting a decimal to a fraction is a task that can be done easily by following a few steps. Here’s how you can do it:
Step 1: Convert the decimal number to a fraction with the decimal as the numerator and 1 as the denominator. Thus, 2.813 becomes 2.813/1.
Step 2: To eliminate the decimal point, multiply both the numerator and the denominator by 1000 (since there are 3 decimal places). 2.813/1 × 1000/1000 = 2813/1000
Step 3: The fraction 2813/1000 is already in its simplest form because 2813 and 1000 have no common divisors other than 1.
Thus, 2.813 can be written as a fraction: 2813/1000.