Question

nelda baked 2 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 eight equal pieces. How can the pans of pasta now be sliced so that both pans have the same size pieces?

Answer 1

lcm for 6 and 8 is 24
24/6=4
24/8=3

slice every piece in the first pizza into 4 equal pieces
and every piece in the second pizza into 3 equal pieces.

Answer 2

The first pan has to be divided into 4 equal parts.

The second pan has to be divided into 3 equal parts.

Explanation:

The first step to solve this problem is finding the least common multiple of 6 and 8.

The multiples of 6 are {0,6,12,18,24,30,36,42,...}

The multiples of 8 are {0,8,16,24,32,...}

The least common multiple of 6 and 8 is 24.

So both kinds of pasta have to be baked so after the second step they have 24 equal parts.

So:

First pan:

The first pan was sliced into 6 equal parts.

24/6 = 4.

So each of the 6 parts have to be divided into 4 equal parts.

After the second step, they have 6*4 = 24 equal parts.

Second pan:

The second pan was sliced into 8 equal parts

24/8 = 3

So each of the 8 parts have to be divided into 3 equal parts.

After the second step, they have 8*3 = 24 equal parts.