sara is thinking of a number that is a repeating deciaml of the form 0. abcdabcd...find sara's number using the following clues.

Question

a. the digit that is located 100 places after the deciaml is 4.
b. the digit that is 150 places after the deciaml is 5.
c. the digit that is 175 places after the deciaml is 3
d. a+b=c+d

Answer 1

100 places after the decimal is the same as 4 places after the decimal.
100/25 = 4, so d = 4

150 places after the decimal is the same as 2 places after the decimal.
150 = 100/37 + 2, so b = 5

175 places after the decimal is the same as 3 places after the decimal.
c = 3
a + 5 = 3 + 4
a = 2
The repeating decimal is 0.25342534...

I assume you know how to convert that to a fraction that is a ratio of integers.

x = 2534/9999

Answer 2

0.253425343