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LessonsCatch the Flaw

Lesson 04 · Maths · Fractions of a remainder

Step 1 of 4

Find the wrong step

Two astronaut crews eating from the same pizza tray in sequence
Your lessonFractions of a remainderStretch

Pizza Planet's Last Tray

A space café begins lunch with 48 meteor-pizza slices. One crew eats 14 of all the slices. A second crew then eats 23 of what remains.

Starting slices
48
First crew
Eats 14 of 48
Second crew
Eats 23 of the remainder

Your question

How many pizza slices remain after both crews eat?

Lumi’s answer: “Only 4 slices remain.

1

Step 1 of 4

Find the wrong step

Find where the reasoning first breaks

Start with Step 1 and move downward. Choose the first line that stops making sense.

Later lines may be wrong too. Pick the first mistake.

Lumi’s work

These lines form one solution. Read them from top to bottom.

  1. 1

    The first crew eats 14 × 48 = 12, leaving 36 slices.

  2. 2

    The second crew eats 23 × 36 = 24 slices.

  3. 3

    Combine 14 + 23 = 1112 and treat both fractions as parts of the original 48.

  4. 4

    Eleven twelfths of 48 is 44, so 48 − 44 = 4 slices remain.