Table Of Contents
Last updated on March 7th, 2025
Numbers can be categorized into different types. A fraction is one of its kinds. 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, 9.33333333333. We are going to learn how to convert a decimal to a fraction.
The answer for 9.33333333333 as a fraction will be 28/3.
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: Identify the repeating part of the decimal. Here, 9.33333333333 has a repeating part of '3'.
Step 2: Let x = 9.33333333333. Multiply both sides by 10 to move the decimal point for the repeating part: 10x = 93.3333333333
Step 3: Subtract the original equation (x = 9.33333333333) from this new equation: 10x - x = 93.3333333333 - 9.33333333333 9x = 84
Step 4: Solve for x by dividing both sides by 9: x = 84/9
Step 5: Simplify the fraction 84/9. The GCD of 84 and 9 is 3. Divide both numerator and denominator by 3: 84/9 = 28/3
Thus, 9.33333333333 can be written as a fraction 28/3.