Question

Nelda baked two kinds of pasta in pans. Each pan was the same size. She sliced one pan of pasta into 6 equal pieces. She sliced the other pan into 8 equal pieces. How can the pans of pasta now be sliced so that both pans have the​ same-sized pieces? If Nelda has served 16 pieces from 1 pan so​ far, what fraction of 1 pan has she​ served?

Answer 1

Fraction of pieces served =
`(2)/(3)`

Explanation:

Total number of slices in pan one = 6 pieces

Total number of slices in pan two = 8 pieces

Further to get equal number of pieces of past in both the pans we will find the LCM of the pieces on both the pans.

LCM of 6 and 8 = 24

So to have the equal number of pieces on both the pans she will divide the pasta into 24 pieces.

If she served 16 pieces from the pan 1,

Fraction of pieces served from first pan

=
`\frac{\text{Number of pieces served}}{\text{Total number of pieces on pan 1}}`

=
`(16)/(24)`

=
`(2)/(3)`