Table Of Contents
Last updated on March 7th, 2025
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. 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, 13.333, we are going to learn how to convert a decimal to a fraction.
The answer for 13.333 as a fraction will be 40/3.
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 decimal number should be converted to a fraction for easy calculation. Here, 13.333 is the number in the numerator, and the base number 1 will be the denominator. Then, 13.333 becomes 13.333/1.
Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are 3 decimal places in the repeating part). 13.333/1 × 1000/1000 = 13333/1000
Step 3: Recognizing the repeating decimal part (.333), we convert it by recognizing that 0.333 is equivalent to 1/3. So, 13.333 is 13 + 1/3, which as an improper fraction is 40/3.
Thus, 13.333 can be written as a fraction 40/3.