How to convert
Three steps, no calculator needed
Set up the division
7 ÷ 8. Since 7 is smaller than 8, the answer starts 0.… — add a decimal point and a zero.
Divide with the remainders
8 goes into 70 8 times, remainder 6. 8 goes into 60 7 times, remainder 4. 8 goes into 40 5 times exactly.
Read the result
The digits after the point are 875. So 7/8 = 0.875. Multiply by 100 for the percent: 87.5%.
Where it shows up
A measuring-cup moment
A recipe calls for 7/8 cup of flour, but your measuring cup is marked in decimals. 7/8 cup = 0.875 cups — just below the 1-cup line. If you are scaling the recipe to 100 servings, you need 87.5 cups.
Worked answer: 0.875 cups · 87.5 cups at 100×
Factor check
No common factors — 7/8 is already in lowest terms. A denominator of only 2s and 5s also means the decimal terminates.
FAQ
Quick answers
Is 7/8 a terminating or repeating decimal?
Terminating. 7/8 = 7/8, and the denominator 8 factors as 2³ — only powers of 2 and 5, which always give finite decimals.
What is 7/8 of 100?
87.5. Multiply 100 by 0.875 — handy for scores, tips and percentages.
How do you turn 7/8 into a percent?
Divide 7 by 8 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 7/8-style problems
Print 20 fresh problems with a separate answer key.