Join and Remove Like Fraction Parts
Add and subtract fractions that already share a denominator.
Supplied materials
- Paper and pencil.
- Supplied strip: eight equal sections; three marked blue and two different sections marked yellow.
Learn the idea
Adding fractions with the same denominator counts more of the same-sized parts. Three eighths plus two eighths is five eighths. Keep the denominator eight because each part is still one eighth of the same whole strip.
Subtraction removes selected parts without changing their size. If five eighths are selected and two eighths are removed, three eighths remain. Check by adding the removed fraction back to the remainder.
- Draw an eight-part strip; mark three blue parts and two other yellow parts.
- Count five marked parts and write 3/8 + 2/8 = 5/8.
- Cross out the two yellow parts, then check that adding them back returns to 5/8.
See the method in action
3/8 + 2/8 = 5/8. Removing 2/8 gives 5/8 − 2/8 = 3/8. Both actions count eighth-sized parts.
Check your reasoning
Your answer is temporary and is not saved to an account. Download your current answer before leaving or reloading. Written work on paper or in another app stays in your own file.
See the answer and explanation
4/10
Seven tenths minus three tenths leaves four tenths: 7/10 − 3/10 = 4/10. The part size stays one tenth.
Take it further
Start with 6/10 instead and remove 3/10. Three tenths remain: 6/10 − 3/10 = 3/10. Adding 3/10 back gives the original 6/10.
Nothing here is saved to an account or sent to a teacher. The answer download includes your current choice and any checked feedback.
Check the subject sources
These LifeStarter passages, scenarios and exercises are authored for this Academy with AI assistance and review. External resources keep their publishers’ terms. A grade label suggests a starting level; it does not establish alignment with your school’s complete requirements.