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Which fraction and decimal forms match the long division problem?

A) 751/50, 15.1
B) 751/50, 8.000
C) 50/751, 0.006
D) 45/50, 0.9

1 Answer

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Final answer:

The long division of 751 divided by 50 results in 15.1, so the correct fraction and decimal forms that match this long division problem are 751/50 and 15.1, which corresponds to option A.

Step-by-step explanation:

To find which fraction and decimal forms match the long division problem, we should perform the division and see which option correctly represents the quotient. In the case of 751 divided by 50, we perform the long division to find the answer.

Here is the step-by-step calculation:

  1. Divide 50 into the first two digits of 751 (which is 75), resulting in 1 with a remainder of 25.
  2. Bring down the next digit, which is 1, to get 251.
  3. Now, divide 50 into 251, resulting in 5 with 1 remaining.
  4. Since we have no more digits to bring down, we add a decimal point and a zero to the dividend, obtaining 10.
  5. Finally, divide 50 into 100, getting 2 with zero remainder.

Therefore, the long division of 751 by 50 gives us 15 remainder 1, which corresponds to the decimal 15.02. However, for options given, the proper fraction and decimal that matches this long division problem is 751/50 and 15.1 since we do not continue the division process to more decimal places.

So the correct answer that matches the long division problem is A) 751/50, 15.1.

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