1.66666666666 as a Fraction

Answer

The answer for 1.66666666666 as a fraction will be 5/3.

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 part of the decimal. In this case, the repeating part is 6, so we can rewrite 1.66666666666 as 1.6̅.

Step 2: Let x = 1.6̅. Then, multiply both sides by 10 to shift the repeating part one position to the left: 10x = 16.6̅.

Step 3: Subtract the original equation (x = 1.6̅) from this new equation: 10x - x = 16.6̅ - 1.6̅, which simplifies to 9x = 15.

Step 4: Solve for x by dividing both sides by 9: x = 15/9, which can be simplified by dividing both the numerator and denominator by their GCD, which is 3: x = 5/3.

Thus, 1.66666666666 can be written as a fraction 5/3.

• 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 where a digit or group of digits repeats infinitely.