Table Of Contents
Last updated on March 6th, 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, 1/3, the numbers in decimal are expressed with a decimal point (.), For example, 4.33333333333, we are going to learn how to convert a decimal to a fraction.
The answer for 4.33333333333 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, separate the whole number part from the decimal part. Here, 4 is the whole number part, and 0.33333333333 is the repeating decimal part.
Step 2: To convert the repeating decimal 0.33333333333 to a fraction, set x = 0.33333333333. Multiply both sides by 10 to shift the decimal point: 10x = 3.33333333333.
Step 3: Subtract the original x from this equation: 10x - x = 3.33333333333 - 0.33333333333, which simplifies to 9x = 3.
Step 4: Solve for x: x = 3/9, which simplifies to 1/3.
Step 5: Combine the whole number part with the fraction: 4 + 1/3 = 12/3 + 1/3 = 13/3.
Thus, 4.33333333333 can be written as a fraction 13/3.