Understanding how to convert decimals into fractions is an essential math skill used in education, measurements, construction, cooking, and everyday problem-solving. One of the most commonly searched conversions is 1.5 as a fraction.
The decimal 1.5 represents one and a half, which already hints that the fraction form will be simple. If you already understand 0.5 fraction, then 1.5 simply means one whole plus one-half. Still, following the correct mathematical steps ensures accuracy and helps you confidently convert other decimals as well.
In this guide, you’ll learn:
- What 1.5 means mathematically
- How to convert 1.5 into a fraction step by step
- How to simplify and verify the fraction
- Where this conversion is commonly used
Why Convert 1.5 into a Fraction?
Decimals and fractions express the same values, but fractions are often clearer and more practical, especially in real-life situations.
Fractions are useful because they:
- Are easier to visualize (1/2 instead of 0.5)
- Are standard in measurements and tools
- Are preferred in recipes, construction, and math problems
- Represent exact values with no rounding confusion
For example, saying 1½ hours is usually easier to understand than saying 1.5 hours. The same idea applies when comparing values like fraction of 0.75, where fractions feel more natural than decimals.
Step 1: Write 1.5 as a Fraction
The decimal 1.5 has one digit after the decimal point, which places it in the tenths position.
So we write it as:
1.5 = 15 / 10
This fraction correctly represents 1.5, but it is not yet in simplest form.
Step 2: Simplify the Fraction
To simplify 15 / 10, find the greatest common divisor (GCD).
Factors of 15:
1, 3, 5, 15
Factors of 10:
1, 2, 5, 10
The greatest common divisor is 5.
Now divide both numbers by 5:
- 15 ÷ 5 = 3
- 10 ÷ 5 = 2
This gives the simplified fraction:
3 / 2
✅ Final Simplified Fraction
1.5 as a fraction = 3 / 2
How to Verify the Fraction
Verification ensures the conversion is mathematically correct.
Decimal Check
Divide the numerator by the denominator:
3 ÷ 2 = 1.5
✔ This confirms the fraction is correct.
Cross-Multiplication Check
- 15 × 2 = 30
- 3 × 10 = 30
✔ Both results match, confirming accuracy.
Can 1.5 Be Written as a Mixed Number?
Yes.
Since 3 / 2 is an improper fraction, it can also be written as a mixed number.
Convert it:
3 / 2 = 1 1 / 2
So all of the following are equivalent:
- 1.5
- 3 / 2
- 1 1 / 2
Where Is This Conversion Commonly Used?
⏱ Time & Scheduling
- 1.5 hours = 1 1/2 hours
- 1.5 days = 1 1/2 days
🍰Cooking & Baking
- 1.5 cups of milk = 1 1/2 cups
- 1.5 tablespoons = 1 1/2 tablespoons
📏Construction & Measurements
- 1.5 inches = 1 1/2 inches
- 1.5 feet = 1 1/2 feet
🎓Education & Math
Fractions like 3 / 2 are commonly used in:
- Algebra
- Ratios
- Word problems
- Geometry
Quick Reference Table
| Decimal | Fraction | Simplified |
| 1.5 | 15 / 10 | 3 / 2 |
| 1.5 | — | 1 1/2 (mixed number) |
✅ Final Answer
What is 1.5 as a fraction?
1.5 = 3 / 2 = 1 1/2
Key Takeaway
To convert 1.5 into a fraction:
- Write it as 15 / 10
- Find the GCD (5)
- Divide both numbers by 5
- Get 3 / 2
- Convert to 1 1/2 if needed
Mastering this conversion builds confidence in working with decimals, fractions, measurements, and real-world calculations.
FAQs
What is 1.5 as a fraction in simplest form?
1.5 as a fraction in simplest form is 3 / 2.
Is 1.5 equal to 1 1/2?
Yes. Both represent the same value.
Why do we use 10 as the denominator?
Because 1.5 has one decimal place, placing it in the tenths position.
Is 3/2 an improper fraction?
Yes. The numerator is larger than the denominator, which is why it can also be written as 1 1/2.
You may also find these fraction examples helpful:
