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Last updated on March 7th, 2025
Numbers can be categorized into different types. A fraction is one such type. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. In decimals, numbers are expressed with a decimal point (.), for example, 2.83333. We are going to learn how to convert a decimal to a fraction.
The answer for 2.83333 as a fraction is 85/30 or simplified further to 17/6.
Converting a decimal to a fraction is a task that can be done easily. You can follow the steps mentioned below to find the answer.
Step 1: Firstly, express the decimal number as a fraction for easy calculation. Here, 2.83333 is the number on the numerator and the base number 1 will be the denominator. Then, 2.83333 becomes 2.83333/1.
Step 2: To remove the repeating decimal, multiply both the numerator and denominator by 100000 (since there are 5 decimal places). 2.83333/1 × 100000/100000 = 283333/100000
Step 3: Here, find the GCD of 283333 and 100000. The simplified form by dividing both by their GCD, which is 5000, gives: 283333/100000 = 85/30, which can be further reduced to 17/6. Hence, 2.83333 can be written as a fraction in the form 17/6.
Thus, 2.83333 can be written as a fraction 17/6.