Quick Answer: When you convert 5/4 to a decimal, the result is 1.25.
This is a terminating decimal, which means the number stops and does not repeat.
How to Convert 5/4 to a Decimal
To convert the fraction into a decimal, divide the numerator by the denominator.
5 ÷ 4 = 1.25
So the decimal form of the fraction is 1.25.
Method 1: Long Division
Since 5 is larger than 4, this is an improper fraction. The result will be greater than 1.
Step 1: Set up 5 ÷ 4.
- 4 goes into 5 one time (4 × 1 = 4).
- Write “1” above the division bar.
- Subtract: 5 – 4 = 1.
Step 2: Add a decimal point and a zero (making it 10).
- 4 goes into 10 two times (4 × 2 = 8).
- Write “2” after the decimal point.
- Subtract: 10 – 8 = 2.
Step 3: Bring down a zero, making it 20.
- 4 goes into 20 five times (4 × 5 = 20).
- Write “5” in the quotient.
- Subtract: 20 – 20 = 0.
Result: 1.25
Method 2: The Fraction Splitting Method
Since 5/4 is an improper fraction, you can split it into a whole number and a proper fraction.
5/4 = 4/4 + 1/4
We know that:
- 4/4 = 1
- 1/4 = 0.25
So:
1 + 0.25 = 1.25
This method avoids long division entirely.
Method 3: The Equivalent Fractions Method
Multiply the fraction to get a denominator of 100.
5/4 = (5 × 25) / (4 × 25) = 125/100
Since 125/100 means 125 divided by 100, move the decimal two places left.
125 → 1.25
How to Verify the Answer
Multiply the decimal by the denominator.
1.25 × 4 = 5
Since you get back the original numerator, the conversion is correct.
Does 5/4 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:
4 = 2 × 2
Because it only contains the factor 2, the decimal ends.
What the Decimal Value Means
The decimal 1.25 shows that the value is:
- Greater than 1
- Less than 1.5
- Exactly halfway between 1 and 1.5? No—it’s 1 and 1/4
- Equal to 1 whole unit plus 1/4
- The same as 125%
Fraction, Decimal, and Percentage Forms
| Form | Value |
| Fraction | 5/4 |
| Decimal | 1.25 |
| Percentage | 125% |
To convert the decimal to a percentage:
1.25 × 100 = 125%
Compare With Other Fractions Over 4
Looking at similar fractions helps you see the pattern.
| Fraction | Decimal |
| 1/4 | 0.25 |
| 2/4 | 0.5 |
| 3/4 | 0.75 |
| 4/4 | 1.0 |
| 5/4 | 1.25 |
| 6/4 | 1.5 |
| 7/4 | 1.75 |
| 8/4 | 2.0 |
| 9/4 | 2.25 |
| 10/4 | 2.5 |
Fractions with denominator 4 increase by 0.25, because:
1/4 = 0.25
Rounding 5/4 as a Decimal
Since 1.25 has two decimal places, rounding is straightforward.
| Rounded To | Value |
| Whole number | 1 |
| 1 decimal | 1.3 |
| 2 decimals | 1.25 |
| Exact value | 1.25 |
If rounding to a whole number, 1.25 rounds down to 1.
If rounding to one decimal, 1.25 rounds up to 1.3 (since the second digit is 5 ≥ 5).
Tip for Students
When working with fractions over 4, it helps to remember:
1/4 = 0.25
Then add or multiply:
- 3/4 = 0.75
- 5/4 = 1 + 0.25 = 1.25
- 7/4 = 1 + 0.75 = 1.75
- 9/4 = 2 + 0.25 = 2.25
Real-World Uses of 1.25
You encounter 1.25 constantly in daily life:
- Money: $1.25 (a dollar and a quarter)
- Measurements: 1.25 inches or centimeters
- Cooking: 1.25 cups (1 and 1/4 cups)
- Time: 1.25 hours (1 hour and 15 minutes)
- Sports: A 1.25 ERA in baseball
- Grades: A 1.25 GPA (very low)
- Gas prices: $3.25 per gallon (the 0.25 is 1/4 of a dollar)
Common Mistakes Students Make
Students sometimes make small errors such as:
- Writing 1.50 instead of 1.25 (confusing with 6/4)
- Writing 1.2 instead of 1.25 (forgetting the hundredths place)
- Thinking 5/4 equals 1.4 (confusing with 7/5)
- Forgetting that 5/4 is greater than 1
Final Summary
- 5/4 as a decimal = 1.25
- It is a terminating decimal
- It equals 125%
- Fractions with denominator 4 increase by 0.25
- Three methods to solve: long division, fraction splitting, and equivalent fractions
- Verification: 1.25 × 4 = 5 ✓
- Common in money (a dollar and a quarter) and measurements
