Alexia makes 8 submarine sandwiches. She cuts 4 of the sandwiches into thirds. She cuts the remaining 4 sandwiches into halves. Alexia eats 2 of the 1/3 sandwiches pieces. Her brother bob eats 2 of the 1/2 sandwiches pieces. What fraction of the 8 sandwiches does Alexia eat?

Respuesta :

Answer:

Alexia ate [tex]\frac{1}{12}[/tex]  fraction of the 8 sandwiches

Step-by-step explanation:

Total number of submarine sandwiches  =  8

She cuts 4 sandwiches into each into [tex]\frac{1}{3}[/tex] halves

Also she cuts the remaining 4 sandwiches into [tex]\frac{1}{3}[/tex] halves

lets assume the remain

When Alexia eats 2 pieces of [tex]\frac{1}{3}[/tex] halves she is eating

so there will will be 12 pieces

If the remaining 4  sandwiches is also divided similarly, then there will be 24 pieces

Thus in 24 pieces Alexia is eating 2 pieces.

Hence the fraction will be  [tex]\frac{2}{24}[/tex]

On Reducing it will be

=  [tex]\frac{1}{12}[/tex]

Answer:

Alexia ate 1/12  of the 8 sandwiches.

Step-by-step explanation:

I hope this helped!