Quick Answer: When you convert 79/100 to a decimal, the result is 0.79.
This is a terminating decimal, which means the number stops and does not repeat.
How to Convert 79/100 to a Decimal
To convert the fraction into a decimal, divide the numerator by the denominator.
79 ÷ 100 = 0.79
So the decimal form of the fraction is 0.79.
Method 1: The Place Value Method
Since the denominator is 100, this conversion is immediate.
Any fraction with a denominator of 10, 100, or 1000 can be written as a decimal using place value.
79/100 means 79 hundredths.
In decimal form, hundredths go in the second position after the decimal point.
So:
79 hundredths = 0.79
Method 2: Long Division
Since 79 is smaller than 100, this is a proper fraction. The result will be less than 1.
Step 1: Set up 79 ÷ 100.
- 100 does not go into 79, so write “0” above the division bar and add a decimal point.
- Add a zero to 79, making it 790.
Step 2: 100 goes into 790 seven times (100 × 7 = 700).
- Write “7” after the decimal point.
- Subtract: 790 – 700 = 90.
Step 3: Bring down a zero, making it 900.
- 100 goes into 900 nine times (100 × 9 = 900).
- Write “9” in the quotient.
- Subtract: 900 – 900 = 0.
Result: 0.79
Method 3: The Decimal Shift Method
Any fraction with denominator 100 can be converted by moving the decimal point two places to the left.
79 written with a decimal is 79.0
Move the decimal two places left:
79.0 → 0.79
This works because dividing by 100 moves the decimal left by two places.
Want to convert it back? See 0.79 as a Fraction
How to Verify the Answer
Multiply the decimal by the denominator.
0.79 × 100 = 79
Since you get back the original numerator, the conversion is correct.
Does 79/100 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:
100 = 2 × 2 × 5 × 5
Because it only contains 2 and 5, the decimal ends.
What the Decimal Value Means
The decimal 0.79 shows that the value is:
- Less than 1
- Greater than 0.75 (3/4)
- Less than 0.8 (4/5)
- Equal to 79 parts out of 100
- The same as 79 hundredths
Fraction, Decimal, and Percentage Forms
| Form | Value |
| Fraction | 79/100 |
| Decimal | 0.79 |
| Percentage | 79% |
To convert the decimal to a percentage:
0.79 × 100 = 79%
Compare With Other Fractions Over 100
Looking at similar fractions helps you see the pattern.
| Fraction | Decimal |
| 75/100 | 0.75 |
| 76/100 | 0.76 |
| 77/100 | 0.77 |
| 78/100 | 0.78 |
| 79/100 | 0.79 |
| 80/100 | 0.8 |
| 81/100 | 0.81 |
| 82/100 | 0.82 |
| 83/100 | 0.83 |
| 84/100 | 0.84 |
Fractions with denominator 100 increase by 0.01, because:
1/100 = 0.01
Rounding 79/100 as a Decimal
Since 0.79 has only two decimal places, rounding is straightforward.
| Rounded To | Value |
| Whole number | 1 |
| 1 decimal | 0.8 |
| 2 decimals | 0.79 |
| Exact value | 0.79 |
If rounding to a whole number, 0.79 rounds up to 1.
If rounding to one decimal, 0.79 rounds up to 0.8 (since the second digit is 9 ≥ 5).
Tip for Students
When working with fractions over 100, it helps to remember:
1/100 = 0.01
You can multiply this value by the numerator to convert quickly.
For example:
- 79/100 = 0.01 × 79 = 0.79
- 45/100 = 0.01 × 45 = 0.45
- 120/100 = 0.01 × 120 = 1.20
Real-World Uses of 0.79
You encounter 0.79 constantly in daily life:
- Money: $0.79 (79 cents)
- Sales: 79% off
- Grades: 79% on a test (C+ or B- depending on scale)
- Gas prices: $3.79 per gallon (the 0.79 is 79/100 of a dollar)
- Statistics: 79% of people surveyed
- Discounts: Save $0.79 with coupon
Common Mistakes Students Make
Students sometimes make small errors such as:
- Writing 79.0 instead of 0.79 (confusing with 79/1)
- Writing 0.079 instead of 0.79 (confusing hundredths with thousandths)
- Forgetting the leading zero (writing .79 instead of 0.79)
- Thinking 79/100 equals 7.9 (misplacing the decimal)
Final Summary
- 79/100 as a decimal = 0.79
- It is a terminating decimal
- It equals 79%
- Fractions with denominator 100 increase by 0.01
- Three methods to solve: place value, long division, and decimal shift
- Verification: 0.79 × 100 = 79 ✓
- This is essentially the same as 79 cents
