Last updated on May 29th, 2025
Numbers can be categorized into different types. Fractions are one such type. A fraction is always represented in the form 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. Numbers in decimal form are expressed with a decimal point (.), for example, 5.33333333. We are going to learn how to convert a decimal to a fraction.
The answer for 5.33333333 as a fraction will be 16/3.
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: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 5.33333333 is the number on the numerator and the base number 1 will be the denominator. Then, 5.33333333 becomes 5.33333333/1.
Step 2: Recognize the repeating decimal. Here, the digit 3 is repeating. To express this as a fraction, set x = 5.33333333...
Step 3: Multiply both sides by 10 to shift the decimal point by one place to the right. 10x = 53.3333333...
Step 4: Subtract the original equation from this new equation to eliminate the repeating part. 10x - x = 53.3333333... - 5.33333333... 9x = 48
Step 5: Solve for x. x = 48/9 Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 3. 48/9 = 16/3
Thus, 5.33333333 can be written as a fraction 16/3.