The value of pi is 3. the mathematics archimedes believed that pi was between 3 1/7 3and 3 10/71 .was archimedes correct

Yes, Archimedes was correct.

Step-by-step explanation:

Archimedes, the famed Greek and genius mathematician, inventor, and engineer (among other names), evaluated that the value of Pi was between 3 10/71  and 3 1/7ths.

The value of Pi that matter at this particular moment is 3.1415.

Calculate what 3 and 10/71ths is.

3 10/71= 3.1408

Calculate what 3 and 1/7ths is.

3 1/7= 3.1428

Pi does, in fact, fall between these two numbers.

to find d, you want to get all the numbers with the same denominator. since 210 is the largest number, and it can't be reduced, we want to set all the other denominators to 210.

our first number, 1/2, needs to be multiplied by 105 to get the denominator to be 210. the fraction will then be multiplied by 105/105 to get 105/210.

next, we want to get 1/6 to have a denominator of 210. 210/6 is 35, so we want to multiply 1/6 by 35/35 to get 35/210.

after that, we want to get 1/12 to have a denominator of 210. 12 goes into 210 17.5 times. we multiply 1/12 by 17.5/17.5 to get 17.5/210.

lastly, we 1/20 to have a denominator of 210 by mutiplying it by 10.5. 10.5/10.5 times 1/20 equals 10.5/210.

lastly we need to add all our converted numbers.

105/210 + 35/210 + 17.5/210 + 10.5/210 + 1/210 = 169/210