Which of the following statements is true?1.75 = 1 4/33 9/20 = 3.457/8= 0.78700 = 7/100
Accepted Solution
A:
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.