1.86666666667 as a Fraction

Answer

The answer for 1.86666666667 as a fraction will be 28/15.

Explanation

Converting a decimal to a fraction involves a few steps. You can follow the steps mentioned below to find the answer.

Step 1: Identify the repeating part of the decimal. In 1.86666666667, the repeating part is 6.

Step 2: Let x = 1.86666666667. Multiply by 10 to shift the decimal point: 10x = 18.6666666667.

Step 3: Multiply by another 10 to move past the repeating part: 100x = 186.6666666667.

Step 4: Subtract the first equation from the second to eliminate the repeating decimal: 100x - 10x = 186.6666666667 - 18.6666666667 90x = 168 x = 168/90

Step 5: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 6: 168/90 = 28/15

Thus, 1.86666666667 can be written as a fraction 28/15.

• 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.