Table Of Contents
Last updated on March 7th, 2025
Numbers can be categorized into different types. A fraction is one such type and 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, the numbers in decimal are expressed with a decimal point (.), For example, 7.33333333333, we are going to learn how to convert a decimal to a fraction.
The answer for 7.33333333333 as a fraction will be 22/3.
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 in the decimal. Here, 7.33333333333 has a repeating part, which is 3.
Step 2: Let x = 7.33333333333... and multiply both sides by 10 to shift the decimal point right by one place. 10x = 73.33333333333...
Step 3: Subtract the original x from this equation to eliminate the repeating part. 10x - x = 73.33333333333... - 7.33333333333... 9x = 66
Step 4: Solve for x by dividing both sides by 9. x = 66/9
Step 5: Simplify the fraction by finding the greatest common divisor (GCD) of 66 and 9, which is 3. Divide both the numerator and the denominator by 3. 66/9 = 22/3
Thus, 7.33333333333 can be written as a fraction 22/3.