1.25 as a fraction
Answer:
To convert the decimal number 1.25 into a fraction, follow these detailed steps:
Table of Contents
1. Understanding the Decimal
1.25 is a decimal number that can be broken down into:
- 1 as the whole number part
- 0.25 (which is the fractional decimal part)
The decimal 0.25 means 25 hundredths.
2. Conversion to Fraction
Step 1: Express the decimal 1.25 as a fraction:
1.25 = \frac{125}{100}
Explanation:
- Move the decimal 2 places to the right (since there are two digits after the decimal), so multiply by 100.
- This turns 1.25 into 125.
- So, you write it as \frac{125}{100}.
3. Simplification of the Fraction
Now, simplify the fraction \frac{125}{100} by dividing numerator and denominator by their greatest common divisor (GCD).
Step 2: Find the GCD of 125 and 100
- Factors of 125: 1, 5, 25, 125
- Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
- Common factors: 1, 5, 25
- Greatest: 25
Step 3: Divide numerator and denominator by 25
\frac{125 \div 25}{100 \div 25} = \frac{5}{4}
4. Summary Table
| Step | Operation | Result |
|---|---|---|
| Convert decimal to fraction | 1.25 = \frac{125}{100} | \frac{125}{100} |
| Find GCD | GCD(125, 100) = 25 | 25 |
| Simplify fraction | \frac{125 \div 25}{100 \div 25} | \frac{5}{4} |
| Final fraction in mixed form | 1 \frac{1}{4} (optional) | Mixed number |
Final Notes:
- \frac{5}{4} is the simplified improper fraction form of 1.25.
- If preferred, you can express it as a mixed number: 1 \frac{1}{4}.
Summary:
The decimal 1.25 equals the fraction \frac{5}{4}, which can also be written as the mixed number 1 \frac{1}{4} after simplification.