Fractions & Percents: One Amount, Three Views

1. 1Count the Eaten PartCount the eaten slices one by one: 3 out of 8 equal slices — the fraction 3/8.3/8
2. 2The Pie Becomes the TapeEach eaten slice flies over and morphs into one segment of the tape — no new tape is drawn; the slices themselves become the tape. The rest of the pizza stays where it was.3 segments = 3/8
3. 3Say It as a PercentEach segment is 1/8 of the tape, worth 12.5%. Adding segment by segment, the total stops at 37.5%.3 × 12.5% = 37.5%
4. 4Assemble the EquationThe 3 flies in from the segment counter, the 8 from the tape label, and 37.5% from the percent total — assembled into one equation.3/8 = 37.5%
5. 5Check with the RestThe remaining part is 5 slices, worth 62.5%. Eaten plus remaining must rebuild the whole pizza: 37.5% + 62.5% = 100%.37.5% + 62.5% = 100% ✓
6. 6Still the Same AmountAnswering the opening question: it does not change. Pie, tape and percent are three views of the same amount, 3/8.3/8 = 37.5%

Change the numbers to test the engine with any sum & difference problem: