0.54166666666 as a Fraction

Answer

The answer for 0.54166666666 as a fraction will be 13/24.

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, 0.54166666666 is the number on the numerator and the base number 1 will be the denominator. Then, 0.54166666666 becomes 0.54166666666/1.

Step 2: This decimal is a repeating decimal. To express it accurately as a fraction, it's helpful to recognize the repeating part. In this case, 0.54166666666 can be expressed as 0.54 + 0.00166666666...

Step 3: Let's express the repeating part as a fraction. The repeating decimal 0.001666... is 1/600 as a fraction.

Step 4: So, 0.54166666666 can be expressed as 0.54 + 1/600. Convert 0.54 to a fraction: 0.54 = 27/50.

Step 5: Now, combine these fractions. The common denominator of 50 and 600 is 600. Convert 27/50 to have a denominator of 600: 27/50 = 324/600.

Step 6: Adding the fractions gives (324 + 1) / 600 = 325/600. Simplify this fraction by dividing by their GCD, which is 25. 325/600 = 13/24

Thus, 0.54166666666 can be written as a fraction of 13/24.

• 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 indefinitely.

• 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.