4.66666666667 as a Fraction

Answer

The answer for 4.66666666667 as a fraction will be 14/3.

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 fraction for easy calculation. Here, 4.66666666667 is the number on the numerator and the base number 1 will be the denominator. Then, 4.66666666667 becomes 4.66666666667/1.

Step 2: Since the decimal part repeats, we can express it as a repeating decimal. Let x = 4.66666666667. To eliminate the repeating part, multiply by 10: 10x = 46.6666666667

Step 3: Subtract the original x from the new equation to remove the repeating part: 10x - x = 46.6666666667 - 4.66666666667 9x = 42

Step 4: Solve for x: x = 42/9

Step 5: Simplify the fraction: 42/9 reduces to 14/3 when divided by their GCD, which is 3.

Thus, 4.66666666667 can be written as a fraction 14/3.

• 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 that has digits that 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.