Which of the following statements is true? 1.75 = 1 4/3 3 9/20 = 3.45 7/8= 0.78 700 = 7/100

Let's look at each answer choice to determine if it is true or false.

Choice 1: The first choice states that 1.75 = 1 4/3. Let's change 1.75 into a fraction and see if it is truly 1 4/3. (x will be the fraction)
1.75 = x
175 = 100x
175/100 = x
7/4 = x
1 3/4 = x
Clearly, Choice 1 is incorrect.

Choice 2: Choice 2 states that 3 9/20 = 3.45. Let's change 3.45 to a fraction and see if it is 3 9/20. (g will be our fraction)
3.45 = g
345 = 100g
345/100 = g
69/20 = g
3 9/20 = g
Choice 2 is in fact correct.

Choice 3: Choice 3 states that 7/8 is equal to 0.78 Let's convert 0.78 to a fraction and see if it is really 7/8. (q will be our fraction)
0.78 = q
78 = 100q
78/100 = q
39/50 = q
This fraction cannot be simplified any further. Thus, Choice 3 is false.

Choice 4: Choice 4 claims that 700 is equal to 7/100. Let's test this by converting 700 into a fraction and checking if they are equal. (t will be our fraction)
700 = t
70000 = 100t
700/1 = t
This fraction cannot be simplified any further. Thus, this choice is also incorrect.

Based on our results, Choice 2 is true.

3 9/20 = 3.45 is the correct statement.