Last updated on May 29th, 2025
Numbers can be categorized into different types. A fraction is one of these types. 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 form are expressed with a decimal point (.), such as 1.145. We are going to learn how to convert a decimal to a fraction.
The answer for 1.145 as a fraction will be 1,145/1,000 or simplified as 229/200.
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, 1.145 is the number on the numerator and the base number 1 will be the denominator. Then, 1.145 becomes 1.145/1.
Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 1,000 (because there are three decimal places). 1.145/1 × 1,000/1,000 = 1,145/1,000
Step 3: To simplify the fraction, find the GCD of 1,145 and 1,000, which is 5. Divide the numerator and denominator by 5. 1,145/1,000 = 229/200
Thus, 1.145 can be written as a fraction 229/200 in its simplest form.