Last updated on May 26th, 2025
Numbers can be categorized into different types. 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 both 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 (.), such as 2.13333. We are going to learn how to convert a decimal to a fraction.
The answer for 2.13333 as a fraction is 640/300.
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, 2.13333 is the number. We separate the whole number part (2) from the decimal part (0.13333).
Step 2: To convert the repeating decimal part, denote 0.13333 as x. Multiply x by 10 to shift the decimal point: 10x = 1.3333. Now, subtract the original x from this equation: 10x - x = 1.3333 - 0.13333, resulting in 9x = 1.2.
Step 3: Solve for x to find the fraction of the decimal part: x = 1.2/9.
Step 4: Combine the whole number and the fraction: 2 + 1.2/9. To have a common denominator, convert 2 to 18/9. This results in 18/9 + 1.2/9 = (18 + 1.2)/9 = 19.2/9.
Step 5: To make the fraction simpler, convert 19.2/9 to a fraction with integer numerator and denominator. Multiply by 100 to eliminate the decimal: (19.2×100)/(9×100) = 1920/900. Simplify by dividing by their GCD, which is 60: 1920/900 = 32/15.
Thus, 2.13333 can be written as a fraction 32/15.