Question

Write 3.01 with the one repeating as a mixed number in simplest form.

a. 3 1/100
b. 3 1/10
c. 3 1/33
d. 3 1/50

Answer 1

To write 3.01 with the one repeating as a mixed number in simplest form, we can divide 298 by 99 to find the fractional part of the mixed number. The answer is 3 1/33.

Step-by-step explanation:

To write 3.01 with the one repeating as a mixed number in simplest form, we can start by setting up the equation x = 3.01010101... (where x represents the mixed number we're trying to find).

Next, we multiply x by 100 to get 100x = 301.01010101...

Subtracting the original equation from the second equation, we get 99x = 298. Subtracting the decimal places from both sides, we have 99x = 298.

Dividing both sides by 99, we find x = 3 + 1/33.