3/4 as a decimal is 0.75 and 3/4 as a percent is 75%. To convert, divide 3 by 4 to get the decimal, then multiply by 100 to get the percent. This page shows both conversions step by step, a diagram of 3/4, the full table of quarters (fourths), real-life examples and practice problems with answers.
In this guide
3/4 as a Decimal and Percent: Quick Answer
| Form | Value |
|---|---|
| Fraction | 3/4 (three quarters (three fourths)) |
| Decimal | 0.75 |
| Percent | 75% |
| Decimal type | Terminating |
| Simplest form | Yes, 3/4 is already in simplest form |
What Does 3/4 Mean?
The fraction 3/4, read as “three quarters (three fourths)”, means three of four equal parts. It is the fraction you see on a fuel gauge, a measuring cup and a clock at quarter to the hour.
The top number, 3, is the numerator: how many parts you have. The bottom number, 4, is the denominator: how many equal parts make one whole. A fraction bar also means “divided by”, so 3/4 is the same as 3 ÷ 4. That is the key to converting it.
How to Convert 3/4 to a Decimal
Method 1: Divide the numerator by the denominator
Divide 3 by 4. Because 3 is smaller than 4, the answer starts with 0 and a decimal point, and you bring down zeros:
- 30 ÷ 4 = 7, remainder 2
- 20 ÷ 4 = 5, remainder 0
The remainder is 0, so the division stops: 3/4 = 0.75.
Method 2: Make the denominator a power of 10
Multiply the top and bottom by the same number so the denominator becomes 10, 100 or 1000. Here 4 × 25 = 100, so 3/4 = (3 × 25)/(4 × 25) = 75/100 = 0.75. The number of zeros in 100 tells you the number of decimal places.
In short: Divide 3 by 4. 3/4 = 0.75, a terminating decimal.
How to Convert 3/4 to a Percent
Method 1: Convert to a decimal, then multiply by 100
Take the decimal and multiply by 100, which moves the decimal point two places to the right: 0.75 × 100 = 75%.
Method 2: Multiply by 100 first, then divide
Multiply the numerator by 100 and divide by the denominator: 3 × 100 = 300, and 300 ÷ 4 = 75%. Because 4 × 25 = 100, you can also write 3/4 = 75/100 directly.
Method 3: Use the value of one part
Each 1/4 is worth 25%. You have 3 of those parts, so 3/4 = 3 × 25% = 75%. This is the fastest way to work out any fraction with a denominator of 4 in your head.
In short: Multiply 3/4 by 100: 3/4 = 75%.
All Quarters (fourths) as Decimals and Percents
These are the fractions with a denominator of 4. Learning the whole row makes 3/4 easier to remember, because each one is 25% more than the one before.
| Fraction | Decimal | Percent |
|---|---|---|
| 1/4 | 0.25 | 25% |
| 2/4 = 1/2 | 0.5 | 50% |
| 3/4 | 0.75 | 75% |
| 4/4 = 1 | 1 | 100% |
Related conversions: 1/4 as a percent and decimal, 7/10 as a percent and decimal, 5/6 as a percent and decimal.
How to Use 3/4 in Real Life
Example: Find 3/4 of 24. Divide by 4, then multiply by 3: 24 ÷ 4 = 6, and 6 × 3 = 18.
Example: Find 75% of 120. It is the same as 3/4 of 120: 120 ÷ 4 × 3 = 90.
- Time: 45 minutes is 3/4 of an hour.
- Test scores: 30 out of 40 is 3/4, or 75%.
- Cooking: 3/4 cup is 0.75 cup, or 12 tablespoons.
To find any fraction of a number, divide by the bottom number and multiply by the top. For other percentage problems, see how to calculate a percentage.
Is 3/4 More Than Half?
Yes. 3/4 = 75%, which is more than 50%. The part that is left over is 1/4, which is 25%, because 75% + 25% = 100%.
How to Convert the Decimal or Percent Back to 3/4
Write the decimal over a power of 10, then simplify. 0.75 has 2 decimal places, so 0.75 = 75/100. Divide the top and bottom by their greatest common factor, 25: 75 ÷ 25 = 3 and 100 ÷ 25 = 4. So 0.75 = 3/4.
From the percent: 75% = 75/100. Simplify the fraction.
Equivalent fractions of 3/4: 6/8, 9/12, 12/16 and 15/20. They all equal 0.75 and 75%.
Common Mistakes When Converting 3/4
- Writing 3/4 as 0.34. Divide 3 by 4: the answer is 0.75.
- Dividing the wrong way round. 3/4 means 3 ÷ 4, not 4 ÷ 3. 4 ÷ 3 = 1.333333…, which is more than 1.
- Forgetting to multiply by 100. 0.75 is the decimal. The percent is 100 times bigger: 75%.
- Moving the decimal point the wrong way. To go from decimal to percent, move it two places to the right.
3/4 Practice Problems (With Answers)
1. Write 1/4 as a decimal and a percent.
0.25 and 25%. Divide 1 by 4, then multiply by 100.
2. What is 3/4 of 48?
36. 48 ÷ 4 × 3 = 36.
3. What percent is 21 out of 28?
75%. 21/28 simplifies to 3/4.
4. A tank holds 40 litres and is 3/4 full. How many litres are in it, and what percent full is it?
30 litres, 75% full.
5. Write 25% as a fraction in simplest form.
1/4.
3/4 as a Percent and Decimal: FAQ
What is 3/4 as a decimal?
3/4 as a decimal is 0.75. Divide 3 by 4 to get it.
What is 3/4 as a percent?
3/4 as a percent is 75%. Multiply the decimal by 100 to get it.
How do you convert 3/4 to a percentage?
Divide 3 by 4 to get 0.75, then multiply by 100 and add the % sign. Or multiply 3 by 100 first: 300 ÷ 4 = 75%.
Is 3/4 a terminating or repeating decimal?
3/4 is a terminating decimal. It stops after 2 decimal places, because its denominator, 4, has no prime factors other than 2 and 5.
What fractions are equal to 3/4?
6/8, 9/12 and 12/16 are all equal to 3/4, because each is 3/4 with the top and bottom multiplied by the same number.
Sources and Further Reading
- OpenStax, Prealgebra 2e, Section 6.1: Understand Percent, Rice University.
- Math is Fun, Convert Fractions to Decimals.
- Math is Fun, Convert Fractions to Percents.
Every value on this page was checked by exact division. Convert any number with the percentage calculator or the CalcSolver calculator, and browse all percentage and decimal guides.
Related: browse all percentages and decimals guides, or use the equivalent fractions calculator for fractions. See also the equivalent fractions of 3/4.
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