PIKO · LEARN & EXPLAIN
Fractions: why equal parts matter
Identify the whole, count equal parts and distinguish a fraction’s numerator from its denominator.
Before you start
Begin with a single whole divided into equal pieces. Counting coloured shapes without comparing their sizes is not enough.
Work through this example
One bar is divided into four equal parts, with three shaded. What fraction of the whole is shaded?
Reason step by step
- The entire bar is the whole. All four pieces have the same size, so each is one quarter of that whole.
- The denominator is 4, counting all equal parts, including the unshaded part.
- The numerator is 3, counting only the shaded parts. Write 3/4. One quarter remains unshaded: 3/4 + 1/4 = 1.
A mistake worth understanding
3/1 compares shaded pieces with unshaded pieces; it does not describe the shaded share of the whole. And three of four unequal pieces need not represent 3/4 of the area.
Try it yourself
Shade two of four equal parts. Write a fraction and another fraction with the same value. What changes if the parts are unequal?
Show the answer and reasoning
2/4 = 1/2: two quarters cover half the whole. Unequal pieces require more information about their sizes. In the numeric exercise, equivalent values such as 2/4 and 1/2 are accepted.
Use the idea in the game
Open your year map and find “Parts of a whole”. Earlier gates may need to be cleared first. This unit practises parts of a whole; fraction addition is a separate unit.
Choose your school-year map →About & help
These examples were written for Piko Game. Generated game questions may differ. A score describes a game attempt, not mastery of a school curriculum.
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