1.666666 as a Fraction

Answer:

The answer for 1.666666 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: Firstly, any repeating decimal should be expressed in fractional form. Here, 1.666666 can be written as 1.6̅, which indicates that 6 repeats indefinitely. We can express this as a fraction using algebra.

Step 2: Let x = 1.666666... Since the decimal repeats every digit, multiply x by 10 to move the repeating part. 10x = 16.666666...

Step 3: Subtract the original x from this equation to eliminate the repeating part. 10x - x = 16.666666... - 1.666666... 9x = 15

Step 4: Solve for x by dividing both sides by 9. x = 15/9

Step 5: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3. 15/9 = 5/3

Thus, 1.666666 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.

• Repeating Decimal: A decimal in which a sequence 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.