5/6 as a Percent and Decimal

Quick Answer

5/6 as a decimal: 0.8333... (repeating)

5/6 as a percent: 83.33% (approximately)

Five-sixths produces a repeating decimal. The digit 3 repeats forever after the 8. For most practical purposes, we round to 0.833 or 83.33%.

How to Convert 5/6 to a Decimal

Divide the numerator (5) by the denominator (6):

• 6 goes into 5 zero times, write 0.
• Add decimal: 5.0 → 6 goes into 50 eight times (6 × 8 = 48), remainder 2
• Add zero: 20 → 6 goes into 20 three times (6 × 3 = 18), remainder 2
• Add zero: 20 again - the pattern repeats!

5 ÷ 6 = 0.833333... = 0.83̄3̄

How to Convert 5/6 to a Percent

Method 1: From Decimal

0.8333... × 100 = 83.333...% ≈ 83.33%

Method 2: Direct

(5 × 100) ÷ 6 = 500 ÷ 6 = 83.33...%

Reference Table: Sixth Fractions

Fraction	Decimal	Percent	Notes
1/6	0.1666...	16.67%	Repeats 6
2/6 = 1/3	0.333...	33.33%	Simplifies to 1/3
3/6 = 1/2	0.5	50%	Simplifies to 1/2
4/6 = 2/3	0.666...	66.67%	Simplifies to 2/3
5/6	0.8333...	83.33%	Repeats 3

Why Does 5/6 Repeat?

The denominator 6 = 2 × 3. The factor of 3 causes the repeating pattern. Fractions only terminate if the denominator has only 2s and 5s as prime factors.

Real-World Applications

Probability: Rolling a die and getting anything except 6 has a 5/6 probability (about 83.33%).

Battery: Having 5 out of 6 bars showing means roughly 83% charge.

Time: 5/6 of an hour = 50 minutes (5 × 10 minutes).

Equivalent Fractions

• 5/6 = 10/12 (multiply by 2)
• 5/6 = 15/18 (multiply by 3)
• 5/6 = 20/24 (multiply by 4)

Common Mistakes

• Rounding too early: Don't round 0.833 to 0.83 before multiplying - you'll lose accuracy.
• Confusing with 5/8: 5/6 ≈ 0.833, but 5/8 = 0.625. Different fractions!

Try our Fraction Calculator for more conversions.