0.28571429 as a Fraction

Professor Greenline Explaining Math Concepts

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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, 0.28571429, we are going to learn how to convert a decimal to a fraction.

What is 0.28571429 as a Fraction?

$0.28571429 as a fraction$

Answer:

The answer for 0.28571429 as a fraction will be 2/7.

Explanation:

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, 0.28571429 is the number on the numerator and the base number 1 will be the denominator. Then, 0.28571429 becomes 0.28571429/1.

Step 2: Identify the repeating sequence in the decimal. Here, 0.28571429 has a repeating sequence of 285714.

Step 3: To convert the repeating decimal to a fraction, let's represent the repeating decimal as x. So, x = 0.28571429. Multiply it by 10^6 (since the repeating sequence is 6 digits long) to shift the repeating part: 1000000x = 285714.28571429.

Step 4: Subtract the original x from the above equation: 1000000x - x = 285714.28571429 - 0.28571429. 999999x = 285714.

Step 5: Solve for x by dividing both sides by 999999: x = 285714/999999.

Step 6: Simplify the fraction 285714/999999 by dividing both the numerator and the denominator by their greatest common divisor, which is 142857. 285714 ÷ 142857 = 2, and 999999 ÷ 142857 = 7.

Thus, 0.28571429 can be written as a fraction 2/7.