The learner interprets fractions as equal parts of a specified whole or set and translates simple word situations into actions such as finding a fractional part, combining parts, or comparing amounts. They reason that the denominator names the size of equal parts and the numerator counts those parts, using bar models or number lines when helpful, and solve addition or subtraction situations with like denominators; unlike-denominator operations, fraction multiplication or division, and more complex mixed-number problems are beyond this scope.
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A fraction tells about a whole that has been split into equal parts.
Lena has a chocolate bar divided into 8 equal pieces. She eats of the bar in the morning and in the afternoon. How much does she eat altogether?
Step 1: Identify the equal parts.
The denominator is , so the chocolate bar has 8 equal pieces.
Step 2: Combine the parts.
Both fractions have the same denominator, so add the numerators:
Step 3: State the answer.
Lena eats of the chocolate bar altogether.
The denominator stays because the pieces are still eighths. We count the pieces by adding the numerators.
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