Table Of Contents
Last updated on March 10th, 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, 4.33333333, we are going to learn how to convert a decimal to a fraction.
The answer for 4.33333333 as a fraction will be 13/3.
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, identify the repeating part and the non-repeating part of the decimal. Here, 4.33333333 can be separated into 4 + 0.33333333.
Step 2: For the repeating decimal 0.33333333, let x = 0.33333333. Multiply both sides by 10 to shift the decimal point: 10x = 3.3333333.
Step 3: Subtract the first equation from the second: 10x - x = 3.3333333 - 0.3333333 9x = 3 x = 3/9 = 1/3 Step 4: Add the whole number back: 4 + 1/3 = 12/3 + 1/3 = 13/3
Thus, 4.33333333 can be written as a fraction 13/3.