Fraction, Decimal & Percent Conversion Chart

This fraction-decimal-percent chart covers 57 common fractions, from halves all the way through sixteenths, with their exact decimal and percentage equivalents. Fractions, decimals, and percents are really just three ways to write the same rational number. This table lets you look up any of them in seconds. Homework, test prep, teaching a class, helping your kid with math? It's all here.

Quick Summary

This chart lists 57 fraction-decimal-percent conversions for every denominator from halves through sixteenths.
To convert a fraction to a decimal, divide the top number by the bottom number. Multiply by 100 to get the percent.
A decimal terminates if the denominator (in lowest terms) only has 2s and 5s as prime factors. Otherwise, it repeats.
Start by memorizing the benchmarks: 1/2 = 0.5, 1/4 = 0.25, 3/4 = 0.75, 1/3 ≈ 0.333, 1/5 = 0.2, and 1/8 = 0.125.
Use fractions for cooking and construction, decimals for money and science, and percents for statistics and sales.

What Are the Most Common Fraction-Decimal-Percent Conversions?

A fraction-decimal-percent chart is a reference table that pairs each fraction with its decimal and percent equivalent. So 1/4 = 0.25 = 25%, and 1/3 = 0.333… ≈ 33.33%. The chart below covers halves, thirds, fourths, fifths, sixths, eighths, tenths, twelfths, and sixteenths. That's basically every denominator you'll run into through middle school.

Benchmark Fractions to Memorize

Before you scroll through all 57 rows, here are the eight conversions that come up the most. These are the benchmark fractions worth memorizing. Learn these cold, and the rest of the table gets a lot easier to work with.

Fraction	Decimal	Percent
1/2	0.5	50%
1/3	0.333…	33.33%
1/4	0.25	25%
3/4	0.75	75%
1/5	0.2	20%
1/8	0.125	12.5%
3/8	0.375	37.5%
1/10	0.1	10%

Complete Fraction-Decimal-Percent Reference Table

This table covers every fraction from halves through sixteenths. Repeating decimals are shown in red. Those are the ones where the decimal digits loop forever because the fraction's denominator (in simplest form) has prime factors besides 2 and 5. You can use the filter buttons to show just one denominator group at a time.

Fraction	Decimal	Percent
Halves
1/2	0.5	50%
Thirds
1/3	0.333…	33.33%
2/3	0.666…	66.67%
Fourths (Quarters)
1/4	0.25	25%
2/4	0.5	50%
3/4	0.75	75%
Fifths
1/5	0.2	20%
2/5	0.4	40%
3/5	0.6	60%
4/5	0.8	80%
Sixths
1/6	0.1666…	16.67%
2/6	0.333…	33.33%
3/6	0.5	50%
4/6	0.666…	66.67%
5/6	0.8333…	83.33%
Eighths
1/8	0.125	12.5%
2/8	0.25	25%
3/8	0.375	37.5%
4/8	0.5	50%
5/8	0.625	62.5%
6/8	0.75	75%
7/8	0.875	87.5%
Tenths
1/10	0.1	10%
2/10	0.2	20%
3/10	0.3	30%
4/10	0.4	40%
5/10	0.5	50%
6/10	0.6	60%
7/10	0.7	70%
8/10	0.8	80%
9/10	0.9	90%
Twelfths
1/12	0.0833…	8.33%
2/12	0.1666…	16.67%
3/12	0.25	25%
4/12	0.333…	33.33%
5/12	0.4166…	41.67%
6/12	0.5	50%
7/12	0.5833…	58.33%
8/12	0.666…	66.67%
9/12	0.75	75%
10/12	0.8333…	83.33%
11/12	0.9166…	91.67%
Sixteenths
1/16	0.0625	6.25%
2/16	0.125	12.5%
3/16	0.1875	18.75%
4/16	0.25	25%
5/16	0.3125	31.25%
6/16	0.375	37.5%
7/16	0.4375	43.75%
8/16	0.5	50%
9/16	0.5625	56.25%
10/16	0.625	62.5%
11/16	0.6875	68.75%
12/16	0.75	75%
13/16	0.8125	81.25%
14/16	0.875	87.5%
15/16	0.9375	93.75%

You'll notice that several fractions land on the same decimal. Take 2/4, 3/6, 4/8, 5/10, 6/12, and 8/16. They all equal 0.5 because they're equivalent fractions, just written with different denominators. If you want to reduce any fraction to its simplest form, our simplify fractions calculator handles that in one step. And for a closer look at the process itself, check out our guide on how to simplify fractions.

How Do You Convert Between Fractions, Decimals, and Percents?

Fractions, decimals, and percents all say the same thing, just in different notation. They're three outfits for one rational number. The conversion steps are short, and once you've done a few, switching between formats takes seconds.

→.

How Do You Convert a Fraction to a Decimal?

1 Take the numerator (top number).

2 Divide it by the denominator (bottom number).

That's it. The quotient is your decimal.

3/4 → 3 ÷ 4 = 0.75

→%

How Do You Convert a Decimal to a Percent?

1 Multiply the decimal by 100.

2 Stick a % sign on the end.

Or just slide the decimal point two places to the right. Same thing.

0.75 → 0.75 × 100 = 75%

→⁄

How Do You Convert a Percent to a Fraction?

1 Write the percent over 100.

2 Simplify by dividing both numbers by their greatest common factor (GCF).

If you need help simplifying, try our simplify fractions calculator.

75% → 75/100 → 3/4

Don't feel like doing the math yourself? Our fraction to decimal converter, decimal to fraction converter, and fraction to percent converter will handle it for you.

Why Do Some Fractions Have Repeating Decimals?

Not every fraction gives you a clean, terminating decimal. Fractions like 1/3 and 1/7 produce repeating decimals, where the digits cycle endlessly and never settle on a final value.

Why? It comes down to the denominator's prime factors. Our number system is base 10, and 10 = 2 × 5. If the denominator (after simplifying) only has 2s and 5s in its prime factorization, the decimal terminates neatly. But throw in any other prime factor, like 3, 7, 11, or 13, and the division never finishes. You get a repeating pattern instead.

So 1/4 (denominator = 2²) gives a clean 0.25, but 1/3 (denominator = 3) repeats as 0.333… forever. In math notation, you'll sometimes see a bar called a vinculum over the repeating portion. When you see 0.3̄, it means that 3 repeats indefinitely.

When Should You Use Fractions, Decimals, or Percents?

Knowing how to convert is only half the battle. The other half is knowing which format to use in the first place.

Fractions show up most in cooking (1/2 cup, 3/4 teaspoon), construction (5/16-inch drill bit), and music (quarter notes, half rests). They're also the better choice when you need an exact value. Think about it: 1/3 is perfectly precise, but 0.333… never actually gets there.

Decimals are what you'll see on price tags ($4.75), in science and engineering (3.14159), and on any digital measuring tool. They're easier to compare at a glance and they're what your calculator speaks.

Percents rule in statistics (72% approval rating), finance (5.25% interest rate), sales (30% off), and test scores (88% correct). There's a reason for that. "75% of students passed" just lands faster than "3/4 of students passed," even though they mean the exact same thing.

If you're studying for a test, the best thing you can do is practice all three directions until you don't have to think about it. Our fraction worksheets give you that practice, and our fraction rules cheat sheet covers the math rules behind the conversions.

Free Printable Fraction-Decimal-Percent Chart (PDF)

Want to print this out? The PDF version fits on a single page and includes all 57 conversions organized by denominator. Pin it on the fridge, stick it in a binder, or hand out copies in class.

The content lines up with Common Core State Standards for grades 3 through 6, so it works well as a desk reference that students can use all year.

Sources & Standards

Every one of the 57 values in this chart has been programmatically verified using exact arithmetic. The conversion methods described here align with Common Core State Standards for mathematics:

CCSS.Math.Content.4.NF.C.6: Using decimal notation for fractions with denominators 10 or 100
CCSS.Math.Content.6.RP.A.3.C: Finding a percent of a quantity and solving percent problems

For further learning, see Khan Academy's lessons on fractions, decimals, and percents and Wikipedia's article on repeating decimals.

Frequently Asked Questions

How do you convert a fraction to a decimal?

Divide the top number by the bottom number. For 3/4, that's 3 ÷ 4 = 0.75. If it doesn't divide evenly, you'll get a repeating decimal. 1/3, for example, comes out to 0.333… and the 3s go on forever.

How do you convert a decimal to a percent?

Multiply by 100 and tack on a percent sign. Another way to think about it: just move the decimal point two spots to the right. So 0.75 becomes 75%, and 0.08 becomes 8%.

How do you convert a percent to a fraction?

Write the percent number over 100, then simplify. 75% becomes 75/100. Both 75 and 100 are divisible by 25, so that reduces to 3/4.

What is 1/3 as a decimal and percent?

1/3 as a decimal is 0.333…, with the 3 repeating forever. As a percent, that's roughly 33.33%. Textbooks sometimes write it as 33 1/3%, which is technically the exact value.

Why do some fractions have repeating decimals?

It's about the denominator's prime factors. Our number system is base 10, and 10 = 2 × 5. If the denominator (after simplifying) only has 2s and 5s as prime factors, the decimal terminates. But if there's a 3, 7, 11, or anything else in there, you get a repeating pattern. That's why 1/4 (denominator = 2²) is a clean 0.25, while 1/3 goes on forever.

What's the difference between a terminating and repeating decimal?

A terminating decimal stops after a set number of digits, like 0.25 or 0.5. A repeating decimal has digits that cycle forever: 0.333… or 0.142857142857…. In math notation, you'll see a bar (called a vinculum) drawn over the repeating part to keep things clean.

How do you convert a fraction directly to a percent?

Divide the numerator by the denominator, then multiply by 100. For 3/8, that's 3 ÷ 8 = 0.375, then 0.375 × 100 = 37.5%. Some people prefer converting to a decimal first and then sliding the decimal point. Either way, you get the same answer.

What fraction is 50%?

50% equals 1/2. Write 50 over 100 and simplify: 50/100 = 1/2 (both divided by 50). It's probably the most well-known fraction-percent pair out there.

Are fractions, decimals, and percents all the same thing?

They're three different ways to write the same value. 1/2, 0.5, and 50% all represent exactly the same rational number. Which one you use depends on context. Recipes tend to use fractions, bank statements use decimals, and sale signs use percents. Being comfortable with all three is one of those math skills that actually comes in handy in real life.

What are the most common fractions to memorize?

Start with these benchmark fractions: 1/2 = 0.5 = 50%, 1/4 = 0.25 = 25%, 3/4 = 0.75 = 75%, 1/3 ≈ 0.333 ≈ 33.33%, 1/5 = 0.2 = 20%, and 1/8 = 0.125 = 12.5%. Once you've got those down cold, the rest of the table is much easier. Most other fractions are just multiples of these.

What is 3/8 as a decimal and percent?

3/8 as a decimal is 0.375. As a percent, it's 37.5%. Divide 3 by 8 for the decimal, then multiply by 100 for the percent. Eighths come up constantly in cooking and construction, especially in the US where imperial measurements work in 1/8-inch increments.

What is 1/8 as a decimal and percent?

1/8 equals 0.125 as a decimal and 12.5% as a percent. Eighths show up more than you'd expect. Half an inch on a ruler is 1/2; half of that is 1/4; half again is 1/8. It's a benchmark fraction worth memorizing.

How do you convert a repeating decimal to a fraction?

Set the repeating decimal equal to a variable, say x. Multiply both sides by a power of 10 that shifts one full repeating cycle past the decimal point, then subtract the original equation. The repeating part cancels out. For example: if x = 0.333…, then 10x = 3.333…, so 10x − x = 3, which gives you x = 3/9 = 1/3.

What grade do students learn fractions, decimals, and percents?

Under Common Core standards, fractions start in 3rd grade. Decimal equivalents show up in 4th grade (specifically for denominators of 10 or 100), and percent conversions come in around 6th grade. By the end of middle school, students are expected to move fluently between all three forms.

Can you use this chart for improper fractions?

This chart only covers proper fractions (where the numerator is smaller than the denominator). For an improper fraction like 7/4, pull out the whole number first: 7 ÷ 4 = 1 remainder 3, so 7/4 = 1 3/4. Then look up 3/4 on the chart (0.75 / 75%) and add the whole number back. That gives you 1.75 or 175%.