Answer :

There is 39/8 yards ditch which left to dig

Given that,

Jamal has to create a ditch that is 15 1/2 yards long. He first excavates 7 3/8 yards, then excavates another 3 1/4 yards.

To find: How much more of the ditch is left to dig ?

Firstly,

Total ditch that he has to dig = 15 1/2 yards = 31/2 yards

Secondly,

Total ditch that he already dug = 7 3/8 yards in morning and  3 1/4 after lunch

Total is 7 3/8 + 3 1/4 yards = 59/8 + 13/4 = 59+26/8 = 85/8 yards

The equation is so simple ,

Ditch that is yet to dig = (Total ditch that he has to dig) - (Total ditch that                 he already dug)

                                    =  31/2 yards - 85/8 yards

                                    =  124-85/8 yards

                                    = 39/8 yards

Hence, There is 39/8 yards ditch which left to dig

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