Question

Tanya has 3/4 of a pizza left. She wants to cut it so that each serving is 1/6 of the pizza. How many pieces of pizza can she get out of the amount she has left? (Hint: Write an equation using the template WHOLE / PARTS, then solve it using "Keep, Change, Reciprocate".)

A) 3 2/3
B) 3/24
C) 4 1/2
D) 1/8

Answer 1

Tanya can get 4/3 or 1 1/3 pieces of pizza out of the amount she has left.

Step-by-step explanation:

To find out how many pieces of pizza Tanya can get out of the amount she has left, we can set up a proportion using the concept of dividing a whole into equal parts. We know that Tanya has 3/4 of a pizza and she wants to cut it into servings that are 1/6 of the pizza. Therefore, we can write the equation (3/4) / (1/6) = x, where x represents the number of pieces of pizza she can get. To solve this equation, we can use the 'Keep, Change, Reciprocate' method.

First, we 'Keep' the first fraction as it is: 3/4.
Next, we 'Change' the division sign to multiplication: 3/4 * x = (1/6).
Then, we 'Reciprocate' the second fraction: 3/4 * x = (1/6) * (6/1).
Now, we can simplify and solve the equation: 3/4 * x = 1/1, so x = 4/3.

Therefore, Tanya can get 4/3 or 1 1/3 pieces of pizza out of the amount she has left.