Compare 3/8 and 5/8
The parts are eighths in both fractions. Compare 3 parts with 5 parts.
Answer: 3/8 < 5/8 Five equal eighths are more than three equal eighths.
Fractions · Grades 4–6
How to Compare Fractions
To compare fractions, first make sure they refer to the same-size whole. Pictures and number lines help show which fraction is greater.
What children need to know first
- For equal denominators, the fraction with more selected parts is larger.
- For equal numerators, the fraction with the smaller denominator has larger pieces.
- Fractions with unlike numerators and denominators need a shared unit or equivalent fractions.
Step-by-step explanation
- Check that both fractions refer to equal-size wholes.
- If denominators match, compare numerators.
- If numerators match, compare the size of each part.
- For unlike fractions, draw equal-size bars or rewrite as equivalent fractions with a common denominator.
- Check that the comparison matches the picture or number line.
Worked examples
Compare 1/2 and 2/3
Use sixths: 1/2 = 3/6 and 2/3 = 4/6.
Answer: 1/2 < 2/3 With equal-size sixths, three parts are less than four.
Common mistakes and how to fix them
- Comparing only denominator size. A bigger denominator makes smaller equal parts when the whole is fixed.
- Comparing pictures of different-size wholes. Redraw them at the same size before comparing.
Parent teaching tips
- Fold two equal paper strips into halves, thirds, or fourths and shade the fractions.
- Ask which pieces are being compared before asking which fraction is larger.
Independent practice
- Which is greater: 4/7 or 2/7?
- Compare 1/3 and 1/2.
Practice answers
- 4/7
- 1/3 < 1/2
Explore related skills
Practice this skill
Open the matching Grades 4–6 activity for Fractions. You can print its worksheet with questions only or an answer key.