0.41666666 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. 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, 0.41666666, we are going to learn how to convert a decimal to a fraction.

What is 0.41666666 as a Fraction?

$0.41666666 as a fraction$

Answer

The answer for 0.41666666 as a fraction will be 5/12.

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, 0.41666666 is the number on the numerator and the base number 1 will be the denominator. Then, 0.41666666 becomes 0.41666666/1.

Step 2: Since 0.41666666 is a repeating decimal, we can express it as a fraction by recognizing the repeating part. Let x = 0.41666666...

Step 3: Multiply x by 10 to move the decimal point to the right, resulting in 10x = 4.1666666...

Step 4: Subtract the original x from this equation: 10x - x = 4.1666666... - 0.41666666... which gives 9x = 3.75.

Step 5: Solve for x by dividing both sides by 9, resulting in x = 3.75/9.

Step 6: Simplify the fraction by finding the greatest common divisor (GCD) of 375 and 900. The GCD is 75. Divide both the numerator and the denominator by 75 to get 5/12.

Thus, 0.41666666 can be written as a fraction 5/12.

Important Glossaries for 0.41666666 as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

Repeating Decimal: A decimal number that has a repeating digit or group of digits after the decimal point.

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.

Simplification: The process of reducing a fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor.