41.6666666667 as a Fraction

Answer

The answer for 41.6666666667 as a fraction is 125/3.

Explanation

Converting a decimal to a fraction is a straightforward process. Follow the steps mentioned below to find the answer.

Step 1: Recognize that 41.6666666667 is a repeating decimal. Let x = 41.6666666667...

Step 2: Multiply x by 10 to move the decimal point one place to the right, giving us 10x = 416.666666667...

Step 3: Subtract the original x from this equation: 10x - x = 416.666666667 - 41.666666667 9x = 375

Step 4: Solve for x by dividing both sides by 9: x = 375/9

Step 5: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3: 375/9 = 125/3

Therefore, 41.6666666667 can be written as the fraction 125/3.

• 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 number where one or more digits repeat infinitely.

• 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.