Table Of Contents
Last updated on March 7th, 2025
Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. 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, 2.222, we are going to learn how to convert a decimal to a fraction.
The answer for 2.222 as a fraction will be 2000/999.
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 fraction for easy calculation. Here, 2.222 is the number on the numerator and the base number 1 will be the denominator. Then, 2.222 becomes 2.222/1.
Step 2: To remove decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 2.222/1 × 1000/1000 = 2222/1000
Step 3: Here, identify the repeating decimal, which is 0.222. Convert this repeating part separately. 0.222 as a fraction is 2/9.
Step 4: Now, express the whole number part and the repeating decimal as a single fraction: 2 + 2/9 = 18/9 + 2/9 = 20/9
Step 5: Hence, 2.222 can be expressed as a fraction by multiplying the whole number part by the factor of 9 (accounting for the denominator of the repeating fraction): 2.222 = (20/9) * (1000/1000) = 2000/999
Thus, 2.222 can be written as a fraction 2000/999.