Table Of Contents
Last updated on March 12th, 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, 1.28571428571, we are going to learn how to convert a decimal to a fraction.
The answer for 1.28571428571 as a fraction will be 9/7.
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, observe that 1.28571428571 is a repeating decimal. The repeating part is 285714, which is 6 digits long.
Step 2: Let x = 1.28571428571. Then, multiply both sides by 10^6 (since the repeating part is 6 digits long): 10^6 * x = 1285714.28571428571
Step 3: Subtract the original x from the equation obtained in Step 2: 10^6 * x - x = 1285714.28571428571 - 1.28571428571 999999 * x = 1285713
Step 4: Solve for x: x = 1285713 / 999999
Step 5: Simplify the fraction by finding the GCD of 1285713 and 999999, which is 111111. Divide both the numerator and the denominator by 111111: x = 9 / 7
Thus, 1.28571428571 can be written as a fraction 9/7.