I have the fraction 1/6. I need to express it as a decimal, fraction expressed with denominator 100 and percentage. Is it correct to have 0.16666; 16.66/100 and 16.66%?

Right.

Thank you

You're welcome.

To express the fraction 1/6 as a decimal, you need to divide the numerator (1) by the denominator (6) using long division or a calculator.

Dividing 1 by 6, you get 0.1666666... (the pattern of 6's repeats indefinitely). However, it is common to round decimals after a certain number of decimal places. Therefore, you can round 0.1666666... to 0.16667 (rounded to five decimal places).

To express 1/6 as a fraction with a denominator of 100, you can multiply both the numerator and the denominator by the same number to obtain an equivalent fraction. In this case, you can multiply 1/6 by 100/100 to get 100/600. Simplifying this fraction, you get 1/6 = 1/6 * (100/100) = 100/600.

For the percentage representation, you can convert the fraction to a decimal and then multiply it by 100. So, 1/6 as a decimal is 0.16667 (rounded to five decimal places), and multiplying 0.16667 by 100, you get 16.667%. Rounding this to two decimal places, you have 16.67%.

Therefore, the correct representations for the fraction 1/6 are:
- Decimal: 0.16667 (rounded to five decimal places)
- Fraction with denominator 100: 100/600
- Percentage: 16.67%