Last updated on May 26th, 2025
Numbers can be categorized into different types. A fraction is one of its kinds and 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; numbers in decimal are expressed with a decimal point (.), for example, 9.33333. We are going to learn how to convert a decimal to a fraction.
The answer for 9.33333 as a fraction is 28/3.
Converting a repeating decimal to a fraction can be straightforward. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 9.33333...
Step 2: Since 3 is repeating, multiply both sides by 10 to shift the decimal point one place to the right: 10x = 93.33333...
Step 3: Subtract the original equation (x = 9.33333...) from this new equation: 10x - x = 93.33333... - 9.33333...
Step 4: This simplifies to: 9x = 84
Step 5: Solve for x by dividing both sides by 9: x = 84/9
Step 6: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3: 84/9 = 28/3
Thus, 9.33333 can be written as a fraction 28/3.