Converting decimals into fractions is a fundamental math skill used in school mathematics, competitive exams, finance calculations, and everyday problem-solving. One commonly asked question is:
What is 0.79 as a fraction?
Because 0.79 is a terminating decimal, its conversion is straightforward. In this guide, you’ll learn how to convert it step by step, check whether it can be simplified, and understand why the final answer is correct.
Key Takeaway
For terminating decimals:
- Count the number of decimal places
- Place the number over the correct power of 10
- Simplify if possible
For 0.79:
- It has two decimal places
- It is written over 100
- The fraction 79/100 is already in simplest form
Understanding the Decimal 0.79
Before converting, let’s identify the type of decimal:
- 0.79 has two decimal places
- It does not repeat
- It terminates
✔ This means we can convert it directly using place value.
Method 1: Direct Decimal-to-Fraction Conversion
Step 1: Write 0.79 as a Fraction
Since there are two digits after the decimal, place the number over 100:
0.79 = 79 / 100
Step 2: Check for Simplification
To simplify a fraction, the numerator and denominator must share common factors.
- 79 is a prime number
- 100 = 2 × 2 × 5 × 5
- There are no common factors
✔ This means the fraction is already in its simplest form.
✅ Final Answer
0.79 as a fraction = 79 / 100
Why 79/100 Cannot Be Reduced Further
A fraction can only be simplified if both numbers share common factors.
- Factors of 79: 1, 79
- Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
Since the only common factor is 1, the fraction 79/100 is fully simplified.
Fraction, Decimal, and Percentage Forms
| Form | Value |
| Decimal | 0.79 |
| Fraction | 79 / 100 |
| Percentage | 79% |
Alternative Method: Place Value Explanation
Another way to understand the conversion is by place value:
- 7 is in the tenths place
- 9 is in the hundredths place
So:
- 0.79 = 7/10 + 9/100
- = 70/100 + 9/100
- = 79/100
✔ Same result, just a different approach.
Real-Life Examples of 0.79
- Money: $0.79 = 79 cents
- Grades: 0.79 = 79% score
- Measurements: 0.79 meters = 79/100 of a meter
Common Mistakes to Avoid
- ❌ Writing 79/10 instead of 79/100
- ❌ Trying to simplify 79/100 when it’s already reduced
- ❌ Assuming all decimals repeat
FAQs: 0.79 as a Fraction
Is 0.79 a rational number?
Yes. All terminating decimals are rational numbers.
What is 0.79 as a percentage?
0.79 equals 79%.
Can 0.79 be written as a mixed number?
No. Since it is less than 1, it remains a proper fraction.
Is 0.79 the same as 79/100?
Yes. They represent exactly the same value.
Does 0.79 ever repeat?
No. It terminates, so the fraction conversion is exact.
✅ Final Answer
What is 0.79 as a fraction?
0.79 = 79 / 100
