3.57142857143 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. Fractions represent 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, 3.57142857143, we are going to learn how to convert a decimal to a fraction.

What is 3.57142857143 as a Fraction?

$3.57142857143 as a fraction$

Answer

The answer for 3.57142857143 as a fraction will be 25/7.

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 fraction for easy calculation. Here, 3.57142857143 is the number on the numerator and the base number 1 will be the denominator. Then, 3.57142857143 becomes 3.57142857143/1.

Step 2: To remove the decimal from a fraction, identify if it is a repeating decimal. Here, 3.57142857143 has a repeating cycle of 142857. Thus, the fraction can be determined using the formula for converting repeating decimals to fractions.

Step 3: Convert the repeating part 0.57142857143 to a fraction. The repeating part is 571428, which is 571428/999999. Simplify this fraction to get 4/7. Hence, 3 + (4/7) = 25/7.

Thus, 3.57142857143 can be written as a fraction 25/7.

Important Glossaries for 3.57142857143 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.
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.
Repeating Decimal: A decimal that has one or more repeating numbers after the decimal point indefinitely.