4.166666667 as a Fraction

Answer

The answer for 4.166666667 as a fraction will be 25/6.

Explanation

Converting a decimal to a fraction can be a straightforward task. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be considered as a fraction for easy conversion. Here, 4.166666667 is the number on the numerator and 1 will be the denominator. Then, 4.166666667 becomes 4.166666667/1.

Step 2: Notice that the decimal has a repeating part (6). To convert a repeating decimal to a fraction, let x = 4.166666667. Multiply both sides by 10 to move the decimal point: 10x = 41.66666667.

Step 3: Now, subtract the original equation x = 4.166666667 from the new equation: 10x - x = 41.66666667 - 4.166666667 9x = 37.5

Step 4: Solve for x by dividing both sides by 9: x = 37.5/9

Step 5: Simplify the fraction by multiplying both numerator and denominator by 2 to remove the decimal: x = 75/18

Step 6: Simplify the fraction further by dividing both the numerator and the denominator by their GCD, which is 3: 75/18 = 25/6

Thus, 4.166666667 can be written as a fraction 25/6.

• 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.