Question

two teachers each buy pizzas for a party all of the pizzas are the same teacher A pizzas were cut into 6 equal slices teacher B pizzas were cut into 8 equal slices which teachers pizzas wete cut into larger slices use what you know about fractions to explain your answer

Answer 1

Pizzas teacher A were cut into larger slices

Explanation:

step 1

Let

x-----> the total area of one pizza

we know that

Teacher A

Pizzas were cut into 6 equal slices

so

The area of each slice is
`(1)/(6)x`

Teacher B

Pizzas were cut into 8 equal slices

so

The area of each slice is
`(1)/(8)x`

step 2

The area of the slice teacher A multiply by 4/4

`(1*4)/(6*4)x=(4)/(24)x`

The area of the slice teacher B multiply by 3/3

`(1*3)/(8*3)x=(3)/(24)x`

step 3

Compare the fractions

`(4)/(24)x>(3)/(24)x`

therefore

Pizzas teacher A were cut into larger slices