4.6666667 as a Fraction

Answer

The answer for 4.6666667 as a fraction is 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: Identify the repeating portion of the decimal. For 4.6666667, the repeating part is 6.

Step 2: Let x = 4.6666667. Multiply x by 10 to account for the repeating decimal, so 10x = 46.6666667.

Step 3: Multiply by 10 again to shift the repeating part: 100x = 466.6666667.

Step 4: Subtract the original equation from this new equation: 100x - 10x = 466.6666667 - 46.6666667 90x = 420

Step 5: Solve for x by dividing both sides by 90: x = 420/90 = 42/9

Step 6: Simplify the fraction by dividing the numerator and denominator by their GCD, which is 3: 42/9 = 14/3

Thus, 4.6666667 can be written as the 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.

• 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 fraction in which a figure or group of figures is repeated indefinitely.