4.41666666667 as a Fraction

Answer

The answer for 4.41666666667 as a fraction is 53/12.

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: First, we separate the whole number and the decimal part. Here, the whole number is 4 and the decimal is 0.41666666667.

Step 2: Recognize that 0.41666666667 is a repeating decimal with 6 as the repeating digit. This decimal can be expressed as a fraction. Let x = 0.41666666667. Multiply by 10 to shift the decimal point to the right: 10x = 4.1666666667.

Step 3: Subtract the first equation from the second to eliminate the repeating part: 10x - x = 4.1666666667 - 0.41666666667, 9x = 3.75, x = 3.75/9.

Step 4: Simplify the fraction: 3.75/9 becomes 15/36. Simplify by dividing both numerator and denominator by 3: 15/36 = 5/12.

Step 5: Combine the whole number with the fraction: 4 + 5/12 = 48/12 + 5/12 = 53/12.

Thus, 4.41666666667 can be written as a fraction 53/12.

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

• Decimal: A number that uses base ten and includes a decimal point to separate the whole part from the fractional part.

• Repeating Decimal: A decimal in which a digit or group of digits repeats 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.