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Last updated on March 11th, 2025
Numbers can be categorized into different types. Fractions are one of their kinds. They are 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. Numbers in decimal form are expressed with a decimal point (.), for example, 10.3333. We are going to learn how to convert a decimal to a fraction.
The answer for 10.3333 as a fraction will be 310/30 after simplification.
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, 10.3333 is the number in the numerator and the base number 1 will be the denominator. Then, 10.3333 becomes 10.3333/1.
Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10000 (because there are four decimal places). 10.3333/1 × 10000/10000 = 103333/10000
Step 3: Here 3333 is the GCD of 103333 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 3333. 103333/10000 = 310/30 Hence, 10.3333 is in the form of a fraction as 310/30.
Thus, 10.3333 can be written as a fraction 310/30.