0.45714285714 as a Fraction

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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, 0.45714285714, we are going to learn how to convert a decimal to a fraction.

What is 0.45714285714 as a Fraction?

$0.45714285714 as a fraction$

Answer

The answer for 0.45714285714 as a fraction will be 32/70.

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, 0.45714285714 is the number on the numerator and the base number 1 will be the denominator. Then, 0.45714285714 becomes 0.45714285714/1.

Step 2: To remove decimal from a fraction, you need to multiply both the numerator and denominator by 100000000000 (because there are 11 decimal places). 0.45714285714/1 × 100000000000/100000000000 = 45714285714/100000000000

Step 3: Here 142857143 is the GCD of 45714285714 and 100000000000. Now, to make the fraction simpler, divide the numerator and denominator by 142857143. 45714285714/100000000000 = 32/70 hence, 0.45714285714 is in the form fraction of 32/70

Thus, 0.45714285714 can be written as a fraction 32/70.

Important Glossaries for 0.45714285714 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 in which a digit or group of digits repeats infinitely.