18.6666 as a Fraction

Answer:

The answer for 18.6666 as a fraction is 56/3.

Explanation:

Converting a decimal to a fraction is a task for students that can be accomplished easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be considered. Here, 18.6666 is a repeating decimal. To handle repeating decimals, let x = 18.6666...

Step 2: Multiply both sides by 10 to shift the decimal point one place to the right. 10x = 186.6666...

Step 3: Subtract the original x from this equation to eliminate the repeating part. 10x - x = 186.6666... - 18.6666... 9x = 168

Step 4: Solve for x by dividing both sides by 9. x = 168/9

Step 5: Simplify the fraction. The GCD of 168 and 9 is 3. 168/9 ÷ 3/3 = 56/3

Hence, 18.6666 can be written as the fraction 56/3.

• 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 that has one or more repeating numbers or sequences of numbers after the decimal point indefinitely.