Table Of Contents
Last updated on March 6th, 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; numbers in decimal are expressed with a decimal point (.), for example, 0.44444. We are going to learn how to convert a decimal to a fraction.
The answer for 0.44444 as a fraction will be 4/9.
Converting a decimal to a fraction is a task that can be done easily by following some steps. Here are the steps to find the answer.
Step 1: Firstly, any decimal number should be expressed as a fraction for easy calculation. Here, 0.44444 is the number on the numerator and the base number 1 will be the denominator. Then, 0.44444 becomes 0.44444/1.
Step 2: To remove the repeating decimal from a fraction, recognize that 0.44444 is a repeating decimal, and denote it as 0.4̅. Let x = 0.4̅, which implies 10x = 4.4̅.
Step 3: Subtract the original equation from this new equation: 10x - x = 4.4̅ - 0.4̅ 9x = 4
Step 4: Solve for x by dividing both sides by 9: x = 4/9
Thus, 0.44444, which is expressed as 0.4̅, can be written as a fraction 4/9.