1.42857143 as a Fraction

Professor Greenline Explaining Math Concepts

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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 both whole and fractional parts. Decimals represent the fractional part of numbers. For example, 1/2. In decimal form, numbers are expressed with a decimal point (.), for example, 1.42857143. We are going to learn how to convert a decimal to a fraction.

What is 1.42857143 as a Fraction?

$1.42857143 as a fraction$

Answer

The answer for 1.42857143 as a fraction will be 10/7.

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, 1.42857143 is the number on the numerator and the base number 1 will be the denominator. Then, 1.42857143 becomes 1.42857143/1.

Step 2: To remove the decimal from a fraction, multiply both the numerator and denominator by 100,000,000 (because there are 8 decimal places). 1.42857143/1 × 100000000/100000000 = 142,857,143/100,000,000

Step 3: Here, the GCD of 142,857,143 and 100,000,000 is 10. Now, to make the fraction simpler, divide the numerator and denominator by 10. 142,857,143/100,000,000 = 10/7

Thus, 1.42857143 can be written as a fraction 10/7.

Important Glossaries for 1.42857143 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 system and includes a decimal point to separate the whole part from the fractional part.
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.
GCD (Greatest Common Divisor): The largest positive integer that divides the numbers without a remainder, used to simplify fractions.