Quick Answer: 3/2 as a decimal is 1.5.
This is a terminating decimal, meaning the number ends and does not repeat.
How to Convert 3/2 to a Decimal
To convert a fraction into a decimal, divide the numerator by the denominator.
So you calculate:
3 ÷ 2 = 1.5
That gives you the decimal form of the fraction.
Another Easy Way to Think About It
Since 3 is larger than 2, this is an improper fraction.
You can simplify the calculation by splitting it into a whole number and a fraction.
First divide the whole part:
2 ÷ 2 = 1
Remaining = 1
Now rewrite the fraction:
3/2 = 1 + 1/2
We already know:
1/2 = 0.5
So the final result becomes:
1 + 0.5 = 1.5
This approach is often quicker than doing long division.
Want to convert it back? See 1.5 Fraction guide
How to Verify the Answer
You can confirm the result by multiplying the decimal by the denominator.
1.5 × 2 = 3
Since you get the original numerator back, the conversion is correct.
Does 3/2 Terminate or Repeat?
The decimal terminates.
A fraction produces a terminating decimal when the denominator contains only 2 or 5 as prime factors.
Factor the denominator:
2 = 2
Since the denominator contains only 2, the decimal ends.
What the Decimal Value Represents
The decimal 1.5 means the value is:
- One and a half
- Halfway between 1 and 2
- Equal to 150%
Fraction, Decimal, and Percentage Forms
| Form | Value |
| Fraction | 3/2 |
| Decimal | 1.5 |
| Percentage | 150% |
To convert the decimal to a percentage:
1.5 × 100 = 150%
Compare With Other Fractions Over 2
Looking at nearby fractions helps you see the pattern.
| Fraction | Decimal |
| 1/2 | 0.5 |
| 3/2 | 1.5 |
| 5/2 | 2.5 |
| 7/2 | 3.5 |
| 9/2 | 4.5 |
Fractions with denominator 2 increase by 1 each step, because:
1/2 = 0.5
Rounding 3/2 as a Decimal
Since 1.5 is exact, rounding usually does not change the value.
| Rounded To | Value |
| 1 decimal | 1.5 |
| 2 decimals | 1.50 |
| 3 decimals | 1.500 |
| Exact value | 1.5 |
Tip for Students
Whenever the denominator is 2, converting to a decimal is simple.
Just divide the number by 2, which means finding half of the numerator.
Example:
Half of 3 = 1.5
Common Mistakes Students Make
Students sometimes make small errors such as:
- Writing 0.15 instead of 1.5
- Confusing 3/2 with 2/3
- Forgetting that the fraction is improper
- Misplacing the decimal point
Always divide the numerator by the denominator carefully.
Final Summary
- 3/2 as a decimal = 1.5
- It is a terminating decimal
- It equals 150%
- Fractions with denominator 2 are easy to convert
