How Much Pizza is Left When a Half is Eaten?

Introduction: Imagine you have a whole pizza cut into 8 equal slices. What if someone eats half of one slice, or if 3/4 of the pizza is consumed? How do you determine how much pizza remains?

Understanding Pizza Slices and Fractions

The pizza is divided into 8 equal slices. Let's explore two scenarios to understand how much pizza is left when different parts are eaten.

Scenario 1: Half of One Slice Eaten

If a person eats 1/2 of one slice:

The pizza is initially cut into 8 slices. 1/2 of one slice is 4 slices (since 1/2 of 8 slices 4 slices). Starting with 8 slices, if 4 slices are eaten, then 8 - 4 4 slices are left.

Therefore, 4 slices of pizza remain.

Scenario 2: 3/4 of the Pizza Eaten

Similarly, if 3/4 of the pizza is eaten:

1/4 of the pizza is left (since 1 - 3/4 1/4). Since the pizza is cut into 8 slices, 8 x 1/4 2 slices are left.

Consequently, 2 slices of pizza remain.

Additional Scenarios

Let's consider another example where Sally and Samantha have eaten some slices from the pizza:

Sally ate 3 slices, Samantha ate 2 slices, and there were initially 8 slices in the pizza. Samantha ate 2/8 of the pizza, which simplifies to 1/4 of the pizza (since 2/8 1/4). Sally ate 3/8 of the pizza. The total fraction of the pizza eaten is 1/4 3/8 5/8. Therefore, 3/8 of the pizza remains.

Additional Calculations (Optional)

Let's go through some additional calculations for completeness:

Remaining Pizza Area Calculation

By 'area,' we assume you mean the footprint (the flat, circular area of the pizza) rather than the total surface area.

The whole pizza is 64π square inches (since the area of a circle πr2 and assuming the radius is 8 inches). Since 1/4 of the pizza is left, the remainder is 3/4 of 64π square inches, which is 48π square inches. Using a radius of 1 foot (which is a reasonable approximation), the area is approximately 3.14 x 12 3.14 square feet.

Additional Surfaces Calculation

If considering the side area of the pizza (assuming the depth is negligible), the calculation varies depending on the surface area:

If considering one side, the surface area would be approximately 12 microacres. If considering both sides, the surface area would be twice that, which is about 24 microacres.

In conclusion, understanding how much pizza is left after it's been eaten involves basic arithmetic and an understanding of fractions. Whether it's 3/4 of the pizza being eaten or just a small portion, the remaining slices can be easily calculated.