4.666666667 as a Fraction

Answer

The answer for 4.666666667 as a fraction is 14/3.

Explanation

Converting a decimal to a fraction can be done easily by following a few steps. Here's how you can convert 4.666666667 to a fraction:

Step 1: Identify the repeating part of the decimal. Here, 4.666666667 has a repeating sequence of 6.

Step 2: Let x = 4.666666667. Multiply by 10 to shift the decimal point for one complete cycle of the repeating sequence. 10x = 46.66666667

Step 3: Subtract the original x from this new equation to eliminate the repeating part. 10x - x = 46.66666667 - 4.666666667 9x = 42

Step 4: Solve for x by dividing both sides by 9. x = 42/9

Step 5: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 3. 42/9 = 14/3

Thus, 4.666666667 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 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.