Two friends cut a large candy bar into equal pieces. harriet ate 1/4 of the pieces. nisha ate 1/2 of hte remaining pieces. six pieces were left over. how many piees was the candy bar originally divided into?

Draw out a large rectangle. Divide that into 4 equal pieces. then shade out 1/2 of 1/4. divide the remaining pieces into 6 equal pieces. then, make the shaded parts into pieces equal to 1/6 of the non shaded part. Add them up.

Harriet at 1/4 of all pieces
4/4-1/4=3/4

nisha ate 1/2 of remaining (3/4)
1/2 of 3/4=3/8 eaten

ok, so eaten=1/4+3/8=2/8+3/8=5/8 eaten
8/8-5/8=3/8 left
3/8=6 pices
1/8=2 pieces
8/8=16 pices

origainally divided into 16 pieces