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23 November, 06:28

Which of the following statements is true?

1.75 = 1 4/3

3 9/20 = 3.45

7/8 = 0.78

700 = 7/100

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Answers (2)
  1. 23 November, 06:34
    0
    3 9/20 = 3.45 is the correct statement.
  2. 23 November, 06:57
    0
    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.
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