int how many 5/8yd pieces can carl cut a length of denim fabric that is 6 7/8yd long?

Question

math prob.

Answer 1

The number of 5/8 yd pieces to be cut from fabric that is 6-7/8 yd long can be found by dividing the 2 numbers and dropping any fractions since only whole pieces are counted.

 

The fraction 6-7/8 can be expressed as 55/8

 

(55/8) / (5/8) = (55/8) (8/5) = 11 pieces 

Answer 2

Divide a length of denim that is 6 7/8 yd long into pieces 5/8 yd long.

Divide                                  6 7/8 yd                  by         5/8 yd

                    (6 7/8 yd) / (5/8 yd)

                    (6 7/8) / (5/8)              [the yd cancels out)

                     (55/8) / (5/8)               [turn mixed number into improper fraction]

                    (55/8) * (8/5)              [to divide by fraction, invert and multiply]

                       11                           [well, have fun cancelling]

There can be 11 pieces of fabric cut.