Last updated on May 26th, 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, 2.222222, we are going to learn how to convert a decimal to a fraction.
The answer for 2.222222 as a fraction will be 20/9.
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, 2.222222 is the number on the numerator and the base number 1 will be the denominator. Then, 2.222222 becomes 2.222222/1.
Step 2: Recognize that 2.222222 is a repeating decimal. To convert a repeating decimal to a fraction, let x = 2.222222.
Step 3: Multiply both sides by 10 to shift the decimal point one place to the right. 10x = 22.222222
Step 4: Subtract the original equation (step 2) from the equation in step 3. 10x - x = 22.222222 - 2.222222 9x = 20
Step 5: Solve for x by dividing both sides by 9. x = 20/9
Thus, 2.222222 can be written as a fraction 20/9.