Question

Express 16 2/3 % (sixteen and two-thirds percent) as a fraction in simplest form.

Answer 1

To express 16 2/3% as a fraction in simplest form, divide the percent by 100 to get the decimal, then write the decimal as a fraction by using the place value of the decimal. Finally, simplify the fraction.

Step-by-step explanation:

To express 16 2/3% as a fraction in simplest form, we first convert the percent to a decimal by dividing it by 100. So, 16 2/3% becomes 16 2/3 ÷ 100 = 16.67 ÷ 100 = 0.1667.

Next, we write the decimal as a fraction by using the place value of the decimal. In this case, the decimal is in the hundredths place, so we put the decimal over 100: 0.1667/100.

Finally, we simplify the fraction. Both the numerator and the denominator can be divided by 0.01, so dividing both by 0.01 gives us 16.67 ÷ 0.01 = 1667 ÷ 1 = 1667. Therefore, 16 2/3% as a fraction in simplest form is 1667/100.

Answer 2

16 2/3 %
0.16666 (6 repeating forever) type it as a decimal
(also, from now on, just know that the 6 is repeating forever)
x = .1666 then you set that to equal x
10x= 1.666, 100x=16.66 and multiply by 10 and 100
100x-10x= 90x then subtract
16.66 - 1.66 = 15 do it again, but with the numbers
90x=15 now you set them to each other
x= 15/90 divide
x= 1/6 simplify
your answer is 1/6