Skill: Solve simple fraction word problems

Explanation and Free Practice Resources

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.

Detailed Explanation: Solve simple fraction word problems

A fraction tells about a whole that has been split into equal parts.

  • The denominator is the bottom number. It tells how many equal parts make the whole.
  • The numerator is the top number. It tells how many of those parts we have.

Example

Lena has a chocolate bar divided into 8 equal pieces. She eats 28\frac{2}{8} of the bar in the morning and 38\frac{3}{8} in the afternoon. How much does she eat altogether?

Step 1: Identify the equal parts.

The denominator is 88, so the chocolate bar has 8 equal pieces.

Step 2: Combine the parts.

Both fractions have the same denominator, so add the numerators:

28+38=2+38=58\frac{2}{8}+\frac{3}{8}=\frac{2+3}{8}=\frac{5}{8}

Step 3: State the answer.

Lena eats 58\boxed{\frac{5}{8}} of the chocolate bar altogether.

The denominator stays 88 because the pieces are still eighths. We count the pieces by adding the numerators.

Learn by doing: Solve simple fraction word problems

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Fraction Addition - Basic (Simplifying Answers) - No Changed Denominator


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