All 8 problems from "Visual Fractions" with complete step-by-step worked solutions: recognising the type, the idea, the working steps and the conclusion. Use this page to review with your child after the animated lesson, or let them check their own working against it.
A pizza is cut into 8 equal slices. You eat 2 slices. What fraction of the pizza did you eat? (Enter the numerator)
Key idea: A fraction is parts taken over total equal parts.
A pizza cut into 8 equal slices with 2 eaten — the numerator is asked for.
Count the eaten slices over the total slices.
Eaten = 2 slices out of 8: the fraction 2/8.
The numerator (the top number) is 2.
So: So the numerator is 2.
What percentage is 1/4 of a whole?
Key idea: Fraction to percent: divide, then multiply by 100.
1/4 of a whole, asked as a percentage.
Turn the fraction into a part of 100.
1 ÷ 4 = 0.25.
0.25 × 100 = 25%.
So: So 1/4 equals 25%.
A pie is cut into 5 equal slices. Each slice is what percent of the pie?
Key idea: One slice of n equal slices is 100 ÷ n percent.
A pie cut into 5 equal slices — what percent is ONE slice?
Share 100% equally among the 5 slices.
100 ÷ 5 = 20.
Each slice is 1/5 of the pie.
So: So each slice is 20% of the pie.
3/8 of a pizza is eaten. What percentage is that?
Key idea: Each eighth is 12.5% — multiply by the number of eighths.
3/8 of a pizza is eaten, asked as a percent.
One eighth is 100 ÷ 8 = 12.5%; take 3 of them.
1/8 = 12.5%.
3 × 12.5% = 37.5%.
So: So 3/8 equals 37.5%.
A cake is cut into 10 equal pieces. 3 pieces are eaten. The fraction eaten is ___ /10, which equals ___% .
Key idea: Tenths are easy: each tenth of a whole is 10%.
A cake in 10 equal pieces, 3 eaten — first the fraction, then the percent.
Count the pieces for the fraction, then convert tenths to percent.
Eaten = 3 pieces out of 10: the fraction 3/10.
3 ÷ 10 × 100 = 30%.
So: So the fraction eaten is 3/10, which equals 30%.
If 5/8 of a pie is remaining, how many slices (out of 8) were eaten?
Key idea: What was eaten = the whole − what remains.
5/8 of a pie (cut in 8) remains — how many slices were eaten?
Subtract the remaining fraction from the whole, 8/8.
Eaten = 8/8 − 5/8 = 3/8.
3/8 of 8 slices is 3 slices.
So: So 3 slices were eaten.
Which fraction equals exactly 62.5%?
Key idea: Convert back with eighths: each 12.5% is one eighth.
Which fraction equals exactly 62.5%?
62.5% is made of lots of 12.5%, and each 12.5% is 1/8.
62.5 ÷ 12.5 = 5 lots.
So the fraction is 5/8.
Check: 5 ÷ 8 = 0.625 = 62.5%.
So: So 62.5% equals 5/8.
A circular chart shows 7/20 shaded. What percentage is shaded?
Key idea: Fraction to percent: divide, then multiply by 100.
7/20 of a chart is shaded, asked as a percent.
Convert the fraction to a part of 100.
7 ÷ 20 = 0.35.
0.35 × 100 = 35%.
So: So 35% is shaded.
A pizza is cut into 8 equal slices and 3 slices are eaten. What fraction was eaten? If you change the view to a tape and then to a percent, does the amount change?
Shortcuts: Space (play), Arrow keys (step), R (reset), F (fullscreen)
A pizza is cut into 8 equal slices, and 3 of them are eaten. Look at that same amount as a pie, as a tape, as a percent — does the amount itself change?
Keep that question in mind — the whole lesson answers it. The lesson mantra: change the view, keep the amount.
Change the numbers and watch the diagram redraw itself:
