2.285714286 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Numbers can be categorized into different types. A 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 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, 2.285714286, we are going to learn how to convert a decimal to a fraction.

What is 2.285714286 as a Fraction?

$2.285714286 as a fraction$

Answer

The answer for 2.285714286 as a fraction will be 16/7.

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, 2.285714286 is the number on the numerator, and the base number 1 will be the denominator. Then, 2.285714286 becomes 2.285714286/1.

Step 2: Recognize that 2.285714286 is a repeating decimal. To express it as a fraction, first consider the repeating part, 0.285714, which repeats every 6 digits. Let's denote x = 0.285714285714... .

Step 3: Multiply both sides of the equation by 10^6 (because the repeating digits are 6 in number) to get: 1,000,000x = 285,714.285714...

Step 4: Subtract the original equation from this new equation: 1,000,000x - x = 285,714.285714... - 0.285714285714... 999,999x = 285,714

Step 5: Solve for x: x = 285,714 / 999,999

Step 6: Simplify the fraction: x = 2/7

Step 7: Now, include the whole number part, which is 2, to make it: 2 + 2/7 = 16/7

Thus, 2.285714286 can be written as a fraction 16/7.

Important Glossaries for 2.285714286 as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.