Quick Answer: 6/5 as a decimal is 1.2.
It is a terminating decimal, meaning it ends and does not repeat.
What Is 6/5 as a Decimal?
When you convert the fraction 6/5 into decimal form, you get:
6 ÷ 5 = 1.2
This value is exact and finite, so it can be used directly in calculations without rounding.
Step-by-Step: How to Convert 6/5 Into a Decimal
Method 1: Direct Division
Divide the numerator by the denominator:
6 ÷ 5 = 1.2
Method 2: Make the Denominator 10
Multiply both numerator and denominator by 2:
6 × 2 = 12
5 × 2 = 10
So the fraction becomes:
12/10 = 1.2
You can also see the fraction form here: What Is 1.2 as a Fraction
How to Verify That 6/5 = 1.2
Method 1: Multiply Back
1.2 × 5 = 6
This confirms the decimal conversion is correct.
Method 2: Prime Factor Rule
The denominator 5 contains only the prime factor 5, so the decimal must terminate.
Method 3: Calculator Check
Dividing 6 by 5 on any calculator gives 1.2 exactly.
Is 6/5 a Terminating or Repeating Decimal?
6/5 is a terminating decimal.
Why?
A fraction converts to a terminating decimal if its denominator has only 2 and/or 5 as prime factors.
Since the denominator is 5, the decimal ends naturally.
Understanding the Size of 6/5
The decimal 1.2 means:
- The value is greater than 1
- It represents one and two-tenths
- It can be written as the mixed number 1 1/5
Fraction, Decimal, and Percentage Forms
| Form | Value |
| Fraction | 6/5 |
| Decimal | 1.2 |
| Percentage | 120% |
To convert to a percentage:
1.2 × 100 = 120%
Real-Life Examples and Uses of 6/5
In practice, people usually use 1.2, while 6/5 appears in formulas, ratios, or intermediate steps.
1. Speed and Rate Calculations
A speed ratio of 6/5 means an object is moving at 1.2× the base speed.
2. Recipe Adjustments
If a recipe is scaled by a factor of 6/5, ingredients are increased to 1.2 times the original amount.
3. Academic Weighting
An assessment weighted at 6/5 indicates the score counts 1.2 times more than a standard unit.
4. Business Pricing Models
A pricing multiplier of 6/5 represents a 20% markup, commonly expressed as 1.2 in final pricing.
5. Physics and Engineering Ratios
In formulas, values may appear as 6/5 for exactness before being evaluated as 1.2.
Common Mistakes to Avoid
- ❌ Writing 1 instead of 1.2
- ❌ Assuming the decimal repeats
- ❌ Rounding when an exact value exists
- ❌ Forgetting to convert to percentage correctly
Because 1.2 is exact, it should always be used as written.
FAQs About 6/5 as a Decimal
Is 6/5 a terminating decimal?
Yes. 6/5 equals 1.2, which terminates.
Can 6/5 be written exactly as a decimal?
Yes. The decimal 1.2 is exact.
Why does 6/5 not repeat?
Because the denominator contains only the prime factor 5.
What is 6/5 as a percentage?
It equals 120%.
Final Answer Summary
- 6/5 as a decimal = 1.2
- It is a terminating decimal
- The value is exact and non-repeating
- Commonly used in scaling, rates, and proportional calculations
