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Dividing fractions word problems

A stretch of highway that is 121412\dfrac14 miles long has speed limit signs every 78\dfrac78 of a mile.
How many speed limit signs are on this stretch of highway?
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
signs