How to simplify
Simplify 35/40 in three steps
Find the greatest common factor
35 = 5×7 and 40 = 2³×5. The biggest factor they share is 5.
Divide top and bottom by 5
35 ÷ 5 = 7 and 40 ÷ 5 = 8, so 35/40 = 7/8 in lowest terms.
Convert to decimal and percent
7 ÷ 8 = 0.875, and 0.875 × 100 = 87.5%.
Where it shows up
A test-score moment
You score 35/40 on a quiz with 40 points. To convert it to a percentage you simplify first: 35/40 = 7/8, and 7/8 = 87.5%. So the score is 87.5% — a solid B-plus.
Worked answer: 7/8 · 0.875 · 87.5%
Factor check
Common factor 5. Divide top and bottom by 5: 35/40 = 7/8. Done.
FAQ
Quick answers
What is 35/40 in simplest form?
7/8. The greatest common factor of 35 and 40 is 5; divide both by it and 35/40 reduces to 7/8.
What is 35/40 of 100?
87.5. Multiply 100 by 0.875 — handy for scores, tips and percentages.
How do you turn 35/40 into a percent?
Divide 35 by 40 to get 0.875, then multiply by 100: 87.5%.
Try three more
Same skills as this page, fresh numbers. Answers below — no peeking until you have tried.
- 2/8 + 3/8
- 7/8 + 1/4
- 7/12 + 1/2
Show answers
- 2/8 + 3/8 5/8
- 7/8 + 1/4 9/8
- 7/12 + 1/2 13/12
Practice 35/40-style problems
Print 20 fresh problems with a separate answer key.